Details

analyze1.2s (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.9%	25.1%	0%	0%	0%	0
0%	0%	74.9%	25.1%	0%	0%	0%	1
0%	0%	74.9%	25.1%	0%	0%	0%	2
25%	18.7%	56.2%	25.1%	0%	0%	0%	3
50%	37.5%	37.5%	25.1%	0%	0%	0%	4
56.3%	42.1%	32.8%	25.1%	0%	0%	0%	5
62.5%	46.8%	28.1%	25.1%	0%	0%	0%	6
64.1%	48%	26.9%	25.1%	0%	0%	0%	7
65.6%	49.2%	25.8%	25.1%	0%	0%	0%	8
66%	49.5%	25.5%	25.1%	0%	0%	0%	9
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	10
66.4%	49.8%	25.2%	25.1%	0%	0%	0%	11
66.5%	49.8%	25.1%	25.1%	0%	0%	0%	12

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.0min (73.5%)

Results

57.0s	3929×	body	8192	exit
4.7s	8256×	body	256	valid
53.0ms	111×	body	256	infinite
37.0ms	73×	body	256	unsamplable

Bogosity

preprocess45.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

1204×	`associate-/r*`
820×	`associate-/l*`
724×	`associate-+r-`
702×	`associate-+l-`
684×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/r*`
820×	`associate-/l*`
724×	`associate-+r-`
702×	`associate-+l-`
684×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

eval7.0ms (0%)

Compiler: Compiled 470 to 383 computations (18.5% saved)

prune19.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

99.6%

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 948 to 806 computations (15% saved)

localize243.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	92.1%	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series10.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
2.0ms	z	@	inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
2.0ms	z	@	-inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`add-sqr-sqrt`
1548×	`add-cbrt-cube`
1548×	`add-cube-cbrt`
1530×	`*-un-lft-identity`
130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	342
1	1632	342

Stop Event

1×	node limit

Counts

4 → 42

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))

Outputs
((((-.f64 1 (-.f64 z -1)) (2))) (((.f64 1 (+.f64 (-.f64 1 z) -1)) (2))) (((.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((.f64 (.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((/.f64 (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 (-.f64 1 z) 1)) (2))) (((/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 1 (.f64 (-.f64 1 z) -1)))) (2))) (((pow.f64 (+.f64 (-.f64 1 z) -1) 1) (2))) (((log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((cbrt.f64 (.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1)) (+.f64 (-.f64 1 z) -1))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1))) (2))))
((((.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (2))) (((.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (2))) (((/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) (2))) (((pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((cbrt.f64 (.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (2))))
((((.f64 1 (sqrt.f64 (.f64 (PI.f64) 2))) (2))) (((.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (2))) (((.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((pow.f64 (.f64 (PI.f64) 2) 1/2) (2))) (((pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1) (2))) (((log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))) (((log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (2))))
((((+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (2))) (((+.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))))) (2))) (((pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1) (2))) (((log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (2))) (((cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (2))) (((expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (2))) (((exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (2))) (((log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) (2))))

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1116×	`+-commutative`
960×	`associate-/r*`
772×	`associate-/l*`
542×	`associate-r`
532×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	6658
1	931	5176
2	4177	4944

Stop Event

1×	node limit

Counts

78 → 128

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))))
(-.f64 1 (-.f64 z -1))
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(.f64 (.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(/.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 (-.f64 1 z) 1))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (-.f64 1 (.f64 (-.f64 1 z) -1))))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(cbrt.f64 (.f64 (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1)) (+.f64 (-.f64 1 z) -1)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(+.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))
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(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 -1/2 (+.f64 (neg.f64 (-.f64 1 z)) -6))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

localize188.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 498 to 393 computations (21.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	0	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms	z	@	-inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`add-sqr-sqrt`
752×	`add-exp-log`
752×	`add-cbrt-cube`
752×	`add-log-exp`
752×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
1	772	111

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

Outputs
((((.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (2))) (((.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((cbrt.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))))
((((.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (2))) (((.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (2))) (((.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) (2))) (((.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((.f64 (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) (2))) (((pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) (2))) (((log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((cbrt.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))))
((((.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (2))) (((.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (2))) (((.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((/.f64 (-.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (+.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((cbrt.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))))

Outputs

((((*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (2))) (((*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((cbrt.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (2))))

((((*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (2))) (((*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (2))) (((*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) (2))) (((*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000) (2))) (((pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) (2))) (((log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((cbrt.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (2))) (((expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))) (((log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))))

((((*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (2))) (((*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (2))) (((*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((cbrt.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (2))))

simplify76.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1514×	`fma-def`
1256×	`distribute-lft-in`
1112×	`distribute-rgt-in`
712×	`*-commutative`
530×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3029
1	567	2941
2	2317	2739

Stop Event

1×	node limit

Counts

75 → 125

Calls

Call 1

Inputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
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(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
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Outputs
4560878540298521/15000000000000
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(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
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(fma.f64 40269435042492127/90000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 4560878540298521/15000000000000))
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(cbrt.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

localize183.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	98.5%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 477 to 364 computations (23.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`add-sqr-sqrt`
946×	`add-exp-log`
946×	`add-log-exp`
944×	`add-cbrt-cube`
944×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	179
1	979	179

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))

(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

Outputs

((((*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (2))) (((*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (2))) (((/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) 1) (2))) (((log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (2))))

((((pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (2))) (((exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (2))))

((((*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (2))) (((*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (2))))

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1084×	`associate-+r+`
1076×	`associate-+l+`
1004×	`*-commutative`
824×	`+-commutative`
452×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	4344
1	679	3842
2	2865	3502

Stop Event

1×	node limit

Counts

64 → 111

Calls

Call 1

Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
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(cbrt.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
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(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
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(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

localize236.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
✓	98.5%	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	98.3%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

Compiler

Compiled 668 to 560 computations (16.2% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

rewrite132.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`associate-/l*`
534×	`associate-+l+`
508×	`+-commutative`
414×	`add-sqr-sqrt`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	117
1	397	93
2	6027	93

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs

(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))

(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

Outputs

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59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (2))) (((fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (2))) (((fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (2))))

simplify176.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

812×	`associate--r+`
704×	`fma-def`
630×	`associate-/r*`
556×	`associate-r`
538×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	12796
1	1636	12528
2	6645	12528

Stop Event

1×	node limit

Counts

202 → 324

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (-.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)))) (-.f64 1 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(-.f64 (/.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(-.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (exp.f64 (log1p.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) 1)
(-.f64 (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (exp.f64 (log1p.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))) 1)
(*.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(*.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(*.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2)) (/.f64 1 (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z -1) (+.f64 z -2)))))))
(.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (/.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(/.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2)) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(/.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 z -2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z -1) (+.f64 z -2))))) (/.f64 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z -1) (+.f64 z -2))))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))
(/.f64 (sqrt.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (+.f64 z -1) (+.f64 z -2))))) (sqrt.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))))
(/.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (/.f64 (.f64 (-.f64 1 z) (-.f64 2 z)) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2))) (/.f64 (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)))) (cbrt.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))) (/.f64 (+.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (.f64 (+.f64 z -1) (+.f64 z -2))))) (cbrt.f64 (+.f64 (/.f64 -309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (+.f64 z -1) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (/.f64 (.f64 (-.f64 1 z) (-.f64 2 z)) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2)))) (/.f64 (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2)))))
(/.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (-.f64 1 z)) (-.f64 2 z))
(/.f64 (-.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(/.f64 (+.f64 (-.f64 1 z) (.f64 6765203681218851/10000000000000 (.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
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(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 -1 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 (.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (.f64 z (.f64 z 7713234287776531/270000000000000))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))
(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))
(-.f64 (-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 (.f64 z z) 295755570232608827/540000000000000)))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (.f64 z (.f64 z 295755570232608827/540000000000000)))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (fma.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000 (.f64 z (.f64 z 295755570232608827/540000000000000))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
(+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -943522900885677/5000000000000 z) (-.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
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(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 6765203681218851/10000000000000 (/.f64 -1 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (sqrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(fma.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) 2) (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) 2) (cbrt.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1))) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))

localize697.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	92.1%	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
1.0ms	z	@	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
1.0ms	z	@	inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite107.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`add-sqr-sqrt`
1450×	`add-exp-log`
1450×	`add-cbrt-cube`
1450×	`add-cube-cbrt`
1434×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	347
1	1509	347

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

(-.f64 (-.f64 1 z) 1)

(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))

Outputs

((((+.f64 (-.f64 1 z) -1) (2))) (((*.f64 1 (+.f64 (-.f64 1 z) -1)) (2))) (((*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((/.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 (-.f64 1 z) 1)) (2))) (((/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (+.f64 1 (*.f64 (-.f64 1 z) 1)))) (2))) (((pow.f64 (+.f64 (-.f64 1 z) -1) 1) (2))) (((log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1)) (+.f64 (-.f64 1 z) -1))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1))) (2))))

((((*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (2))) (((*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (2))) (((/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))))) (2))) (((pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (2))))

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) (2))) (((+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))))) (2))) (((pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))) (2))) (((exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))) (2))))

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1392×	`associate-/r*`
1262×	`+-commutative`
948×	`associate-*r/`
828×	`associate-*l/`
524×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	6427
1	937	5311
2	4246	4949

Stop Event

1×	node limit

Counts

67 → 111

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
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(fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (sqrt.f64 (PI.f64)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))) (.f64 (sqrt.f64 2) (.f64 z (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) (.f64 z (sqrt.f64 2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))))))
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(fma.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 z z)) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))) (sqrt.f64 15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000)))))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (sqrt.f64 (PI.f64)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (+.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))

eval3.4s (4%)

Compiler: Compiled 111539 to 90620 computations (18.8% saved)

prune801.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1038	21	1059
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	1042	22	1064

Error

99.6%

Counts

1064 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (cbrt.f64 (.f64 (+.f64 -1 (-.f64 1 z)) (.f64 (+.f64 -1 (-.f64 1 z)) (+.f64 -1 (-.f64 1 z))))) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 1 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	96.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) (/.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -6765203681218851/12591392167224028)) (.f64 (-.f64 2 z) (*.f64 -2500000000000/3147848041806007 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	94.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	2.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	14.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

Compiler

Compiled 3381 to 2809 computations (16.9% saved)

localize241.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 499 to 382 computations (23.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

0.0ms

-inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

0.0ms

inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`add-sqr-sqrt`
1446×	`add-exp-log`
1446×	`add-cbrt-cube`
1446×	`add-cube-cbrt`
1438×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	207
1	1499	207

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (2))) (((pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))))

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1234×	`associate-+r+`
1154×	`associate-+l+`
928×	`associate-*r/`
842×	`associate-*l/`
730×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	4506
1	611	3906
2	2691	3736

Stop Event

1×	node limit

Counts

20 → 50

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
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(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))

localize187.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.6%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	99.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 249 to 176 computations (29.3% saved)

series34.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
3.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`add-sqr-sqrt`
928×	`*-un-lft-identity`
926×	`pow1`
924×	`add-exp-log`
922×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	164
1	968	164

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

Outputs

((((/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 (PI.f64) z))) (2))) (((pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))))

((((*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1) (2))) (((log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))) (((log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (2))))

simplify90.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-*r/`
1190×	`associate-*l/`
1160×	`associate-/l*`
870×	`associate-/r*`
746×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	5083
1	798	4499
2	3346	4475

Stop Event

1×	node limit

Counts

41 → 73

Calls

Call 1

Inputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (.f64 -4103006302980662903082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 (.f64 -2715848032326100368047161/1411200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 4103006302980662903082059/25200000000000000000000000 (exp.f64 -15/2)) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2))))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (.f64 -4103006302980662903082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 31175378496294352533611/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

Outputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
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(-.f64 (-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z)) (.f64 (.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 4)) -7/360)) (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 6) -7/360) (.f64 (pow.f64 (PI.f64) 6) 1/840))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize128.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.5%	(/.f64 4919378858736341/200000000000000 z)
✓	99.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 312 to 213 computations (31.7% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(/.f64 4919378858736341/200000000000000 z)
0.0ms	z	@	inf	(/.f64 4919378858736341/200000000000000 z)

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`add-sqr-sqrt`
1024×	`add-exp-log`
1022×	`add-cbrt-cube`
1022×	`add-log-exp`
1022×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	154
1	1064	154

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

(/.f64 4919378858736341/200000000000000 z)

Outputs

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))))

((((*.f64 4919378858736341/200000000000000 (/.f64 1 z)) (2))) (((*.f64 1 (/.f64 4919378858736341/200000000000000 z)) (2))) (((*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z))) (2))) (((*.f64 (*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (2))) (((pow.f64 (/.f64 4919378858736341/200000000000000 z) 1) (2))) (((log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z))) (2))) (((cbrt.f64 (*.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z))) (2))) (((expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z))) (2))) (((exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z))) (2))) (((log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z))) (2))))

simplify120.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-*r/`
932×	`associate-*l/`
882×	`associate-+r+`
822×	`associate-/l*`
814×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	4022
1	656	3526
2	2819	3394

Stop Event

1×	node limit

Counts

30 → 63

Calls

Call 1

Inputs
(.f64 6868447169803563/40000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) z) (sqrt.f64 (PI.f64))) (.f64 6868447169803563/40000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) z) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))))) (sqrt.f64 (PI.f64))) (.f64 6868447169803563/40000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) z) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 6868447169803563/40000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 6868447169803563/40000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 2289482389934521/80000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -4919378858736341/400000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))))) z)) (sqrt.f64 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 31175378496294352533611/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(.f64 (.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(cbrt.f64 (.f64 (.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z)))
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))

Outputs
(.f64 6868447169803563/40000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))
(.f64 6868447169803563/40000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 6868447169803563/40000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 6868447169803563/40000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (exp.f64 -15/2))) (sqrt.f64 15/2))))
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(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000))))))
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(.f64 (.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(/.f64 4919378858736341/200000000000000 z)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(cbrt.f64 (.f64 (.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z)))
(cbrt.f64 (.f64 (/.f64 4919378858736341/200000000000000 z) (.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z))))
(cbrt.f64 (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3))
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)

localize291.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	98.5%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	98.4%	(sqrt.f64 (*.f64 2 (PI.f64)))
✓	98.3%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 461 to 361 computations (21.7% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	-inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
0.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1522×	`add-sqr-sqrt`
1442×	`add-exp-log`
1442×	`add-cbrt-cube`
1442×	`add-cube-cbrt`
1434×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	247
1	1486	247

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

(sqrt.f64 (*.f64 2 (PI.f64)))

(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

((((*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (2))) (((*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z))) (2))) (((pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))))

((((*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64)))) (2))) (((*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (2))) (((*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((pow.f64 (*.f64 2 (PI.f64)) 1/2) (2))) (((pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1) (2))) (((log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (2))))

((((+.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000)) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (2))) (((+.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 9999999999998099/10000000000000000) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 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simplify139.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-+r+`
1248×	`associate-+l+`
924×	`+-commutative`
870×	`associate-*r/`
800×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	5623
1	838	4955
2	3621	4933

Stop Event

1×	node limit

Counts

55 → 103

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
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(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
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Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
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(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
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(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000))))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)))))
(exp.f64 (log.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)))))

localize432.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	95.7%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
	92.1%	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 799 to 690 computations (13.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
1.0ms	z	@	-inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
0.0ms	z	@	inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
0.0ms	z	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`add-sqr-sqrt`
1420×	`add-exp-log`
1420×	`add-cbrt-cube`
1420×	`add-cube-cbrt`
1402×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	310
1	1477	310

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))

Outputs

((((*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (2))) (((/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (2))) (((pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (2))) (((log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))) (((log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (2))))

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))) (2))) (((+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2)))))) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))))) (2))) (((pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (2))) (((exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (2))))

simplify150.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1188×	`times-frac`
1162×	`+-commutative`
790×	`associate-*r/`
708×	`associate-*l/`
662×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	6125
1	848	5099
2	3692	4521

Stop Event

1×	node limit

Counts

43 → 90

Calls

Call 1

Inputs
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))

Outputs
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000))
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(cbrt.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (+.f64 15/2 (-.f64 1 (+.f64 z 1))) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 (+.f64 z 1))) -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (+.f64 15/2 (-.f64 1 (+.f64 z 1))) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 (+.f64 z 1))) -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 (+.f64 z 1)) 15/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (+.f64 15/2 (-.f64 1 (+.f64 z 1))) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 (+.f64 z 1))) -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (+.f64 z -3))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))

eval1.6s (1.9%)

Compiler: Compiled 70986 to 56668 computations (20.2% saved)

prune383.0ms (0.5%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	755	17	772
Fresh	5	11	16
Picked	1	0	1
Done	5	0	5
Total	766	28	794

Error

99.6%

Counts

794 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	14.1%	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000))))))
	2.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000)))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 1 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -6765203681218851/12591392167224028)) (.f64 (-.f64 2 z) (*.f64 -2500000000000/3147848041806007 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	2.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	97.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.0%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
▶	14.0%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.1%	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.1%	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	14.1%	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
▶	14.1%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	14.0%	(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
	14.0%	(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	14.0%	(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 3372 to 2772 computations (17.8% saved)

localize567.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	98.5%	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 484 to 380 computations (21.5% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`add-sqr-sqrt`
1412×	`add-exp-log`
1412×	`add-cbrt-cube`
1412×	`add-cube-cbrt`
1404×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	238
1	1457	238

Stop Event

1×	node limit

Counts

2 → 14

Calls

Call 1

Inputs

(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((((pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (2))) (((exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (2))))

((((+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (2))) (((pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))))

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1528×	`times-frac`
856×	`+-commutative`
772×	`associate-*r/`
724×	`associate-*l/`
688×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	5540
1	716	4790
2	3121	4568

Stop Event

1×	node limit

Counts

34 → 74

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2)))))
(pow.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(.f64 (+.f64 (.f64 z (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z))))
(+.f64 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z)))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z) (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 (PI.f64) 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

localize141.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.9%	(exp.f64 (-.f64 -15/2 (neg.f64 z)))
✓	99.6%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 237 to 178 computations (24.9% saved)

series41.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	z	@	inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	0	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	-inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	0	(exp.f64 (-.f64 -15/2 (neg.f64 z)))
0.0ms	z	@	-inf	(exp.f64 (-.f64 -15/2 (neg.f64 z)))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`add-sqr-sqrt`
886×	`*-un-lft-identity`
884×	`add-exp-log`
884×	`add-cbrt-cube`
884×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	138
1	938	138

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

(exp.f64 (-.f64 -15/2 (neg.f64 z)))

Outputs

((((/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) (2))) (((pow.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) 1) (2))) (((log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z))) (2))) (((cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z))) (2))) (((expm1.f64 (log1p.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z))) (2))) (((exp.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z))) (2))) (((log1p.f64 (expm1.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z))) (2))))

((((*.f64 1 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (2))) (((*.f64 (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))) (((*.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))) (((/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z))) (2))) (((pow.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) 1) (2))) (((log.f64 (exp.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))) (((expm1.f64 (log1p.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))) (((log1p.f64 (expm1.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (2))))

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1196×	`distribute-lft-in`
1134×	`distribute-rgt-in`
1074×	`associate-/l*`
1060×	`*-commutative`
944×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3992
1	601	3526
2	2459	3504

Stop Event

1×	node limit

Counts

40 → 76

Calls

Call 1

Inputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 z (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))))) (sqrt.f64 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
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(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
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(pow.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) 1)
(log.f64 (exp.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
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(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(*.f64 1 (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z)))
(pow.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) 1)
(log.f64 (exp.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))

Outputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
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(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(log.f64 (exp.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) 3))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(exp.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(*.f64 1 (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (sqrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (cbrt.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(/.f64 (exp.f64 -15/2) (exp.f64 (neg.f64 z)))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(pow.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) 1)
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(log.f64 (exp.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(cbrt.f64 (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(exp.f64 (+.f64 z -15/2))
(exp.f64 (+.f64 -15/2 z))

localize131.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.5%	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
✓	99.3%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
✓	98.5%	(.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.4%	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 263 to 195 computations (25.9% saved)

series24.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	z	@	-inf	(.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
3.0ms	z	@	0	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
1.0ms	z	@	-inf	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
1.0ms	z	@	inf	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
1.0ms	z	@	0	(.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`add-sqr-sqrt`
906×	`*-un-lft-identity`
904×	`pow1`
900×	`add-exp-log`
900×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	355
1	943	355

Stop Event

1×	node limit

Counts

3 → 19

Calls

Call 1

Inputs

(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))

(*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))

Outputs

((((pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))))

((((pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (2))))

((((/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))) (2))) (((pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (2))) (((exp.f64 (log.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (2))))

simplify155.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1982×	`associate-/r*`
1332×	`associate-+r+`
1144×	`associate-+l+`
1012×	`+-commutative`
738×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	10563
1	1182	9471
2	5154	9401

Stop Event

1×	node limit

Counts

55 → 132

Calls

Call 1

Inputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) z))
(+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) z) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))))))
(+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 (.f64 -2715848032326100368047161/1411200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 4103006302980662903082059/25200000000000000000000000 (exp.f64 -15/2)) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2))))) (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3)) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) z) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2))) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))))))))
(.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))) (.f64 31175378496294352533611/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))))))
(.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))
(+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))))
(+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) z)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (pow.f64 z 2)))))
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(pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))))
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(log.f64 (exp.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
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(expm1.f64 (log1p.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
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(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))

Outputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))
(+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))) z))
(fma.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (fma.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000))) z))
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(log.f64 (exp.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))
(exp.f64 (log.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))

localize125.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	99.5%	(/.f64 4919378858736341/200000000000000 z)
✓	98.9%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 270 to 192 computations (28.9% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

6.0ms

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

1.0ms

-inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

1.0ms

inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`add-sqr-sqrt`
920×	`add-exp-log`
918×	`add-cbrt-cube`
918×	`add-log-exp`
918×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	129
1	959	129

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (2))))

simplify123.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1336×	`times-frac`
1164×	`*-commutative`
700×	`associate-*r/`
658×	`associate-/l*`
568×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3432
1	598	3244
2	2517	3106
3	7855	3106

Stop Event

1×	node limit

Counts

20 → 47

Calls

Call 1

Inputs
(.f64 -4919378858736341/200000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -4919378858736341/200000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (.f64 -4919378858736341/200000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
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(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs
(.f64 -4919378858736341/200000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

localize265.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	98.5%	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	98.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 379 to 283 computations (25.3% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`add-sqr-sqrt`
1186×	`add-exp-log`
1186×	`add-cbrt-cube`
1186×	`add-log-exp`
1186×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	280
1	1234	280

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Outputs

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 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simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-*r/`
1016×	`+-commutative`
986×	`associate-*l/`
516×	`associate-r`
488×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	6331
1	789	5471
2	3646	5253

Stop Event

1×	node limit

Counts

43 → 94

Calls

Call 1

Inputs
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(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
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(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 z 6764801184542762983/90000000000000000) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))

eval1.1s (1.4%)

Compiler: Compiled 45891 to 35962 computations (21.6% saved)

prune289.0ms (0.3%)

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	604	21	625
Fresh	6	17	23
Picked	1	0	1
Done	3	1	4
Total	614	39	653

Error

99.6%

Counts

653 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	14.0%	(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	14.0%	(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000))))))
	2.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000)))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (/.f64 1 (/.f64 1 (+.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 2 z) -6765203681218851/12591392167224028)) (.f64 (-.f64 2 z) (*.f64 -2500000000000/3147848041806007 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
✓	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	97.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	97.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	21.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 6493665628732592227/30000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
▶	95.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
▶	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
	14.0%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.0%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.1%	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	14.0%	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
	14.0%	(.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
▶	14.0%	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
	14.0%	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
▶	14.0%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
	14.0%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	14.1%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	14.1%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
	14.0%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
	14.0%	(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
	14.0%	(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
	14.0%	(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
	14.0%	(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 3739 to 3083 computations (17.5% saved)

localize468.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	98.5%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.4%	(sqrt.f64 (*.f64 2 (PI.f64)))
✓	98.3%	(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))

Compiler

Compiled 508 to 395 computations (22.2% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	0	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
1.0ms	z	@	-inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	inf	(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))
0.0ms	z	@	0	(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))

rewrite304.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1532×	`add-sqr-sqrt`
1448×	`add-exp-log`
1448×	`add-cbrt-cube`
1448×	`add-cube-cbrt`
1448×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	250
1	1503	250

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))

(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

((((+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (2))) (((*.f64 1 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (2))) (((*.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((*.f64 (*.f64 (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((pow.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) 1) (2))) (((log.f64 (exp.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((cbrt.f64 (*.f64 (*.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))) (((log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (2))))

((((+.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z))))) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (2))) (((pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 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7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (2))))

simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-+r+`
988×	`associate-+l+`
824×	`associate-*r/`
796×	`associate-*l/`
780×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	5136
1	650	4442
2	2878	4272

Stop Event

1×	node limit

Counts

42 → 68

Calls

Call 1

Inputs
469507597606837/5000000000000
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
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(.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
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(pow.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) 1)
(log.f64 (exp.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(cbrt.f64 (.f64 (.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(+.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z)))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(pow.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)
(log.f64 (exp.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(exp.f64 (log.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))

Outputs
469507597606837/5000000000000
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(*.f64 5826188486005177/10000000000000 z)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
(+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z))
(fma.f64 5826188486005177/10000000000000 z 469507597606837/5000000000000)
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(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 (fma.f64 (-.f64 1 z) -3147848041806007/2500000000000 (.f64 6765203681218851/10000000000000 (-.f64 2 z))) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))
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(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 (fma.f64 (-.f64 1 z) -3147848041806007/2500000000000 (.f64 6765203681218851/10000000000000 (-.f64 2 z))) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (+.f64 (+.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 2 z) (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.8%	(/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z)
✓	99.2%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
✓	98.4%	(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))
	98.4%	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 52 to 46 computations (11.5% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
0.0ms	z	@	0	(/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z)
0.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
0.0ms	z	@	-inf	(/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z)

rewrite320.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`associate-/l*`
1726×	`associate-*r/`
1384×	`associate-*l/`
356×	`add-sqr-sqrt`
338×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	365	83
2	4372	83

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs

(*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))

(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))

(/.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z)

Outputs

((((-.f64 (exp.f64 (log1p.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) 1) (2))) (((pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 1) (2))) (((pow.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) 3) (2))) (((pow.f64 (pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 3) 1/3) (2))) (((sqrt.f64 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)) (2))) (((log.f64 (pow.f64 (exp.f64 4103006302980662903082059/4200000000000000000000000) (exp.f64 -15/2))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))) (2))) (((cbrt.f64 (pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 3)) (2))) (((expm1.f64 (log1p.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (2))) (((exp.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000))) (2))) (((exp.f64 (*.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000)) 1)) (2))) (((log1p.f64 (expm1.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (2))))

((((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) 1) (2))) (((/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (2))) (((/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 1) (2))) (((/.f64 1 (/.f64 z (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (*.f64 2 (PI.f64)) 1/4))) (2))) (((/.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (/.f64 z (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 (sqrt.f64 2) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))) (2))) (((/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (sqrt.f64 (PI.f64)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 2))) (2))) (((/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (cbrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))) (2))) (((/.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (2))) (((/.f64 (*.f64 -4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (neg.f64 z) (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (/.f64 z (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (2))) (((/.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2)))) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))) (2))) (((/.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (/.f64 z (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 4103006302980662903082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 z (sqrt.f64 15/2))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (/.f64 z (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))) (/.f64 z (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 -4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (neg.f64 z)) (2))) (((/.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (sqrt.f64 15/2))) (2))) (((/.f64 (*.f64 (*.f64 -4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 2 (PI.f64)))) (neg.f64 z)) (2))) (((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z) (2))) (((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 z) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 z)) (2))) (((/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 15/2))) (cbrt.f64 z)) (2))) (((/.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (/.f64 z (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (2))) (((/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (neg.f64 z)) (2))) (((/.f64 (pow.f64 1 1/2) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))) (2))) (((/.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (PI.f64) 2))) 1/2) (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))) (2))) (((/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) z) (2))) (((/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) (/.f64 z 1)) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) 4103006302980662903082059/4200000000000000000000000)) (2))) (((/.f64 (*.f64 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(sqrt.f64 15/2) z))) 3) 1/3) (2))) (((sqrt.f64 (*.f64 (*.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (*.f64 z z) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))) (2))) (((log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))))) (2))) (((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 3)) (2))) (((cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3))) (2))) (((cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) (2))) (((exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) 1)) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) (2))))

((((-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) 1) (2))) (((*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))) (2))) (((*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) (2))) (((*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) (2))) (((*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000))) (2))) (((*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z)) (2))) (((*.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 1) (2))) (((*.f64 1 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) (2))) (((*.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 z))) (2))) (((*.f64 (sqrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((*.f64 (cbrt.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (*.f64 (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 z))) (2))) (((*.f64 (cbrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) (cbrt.f64 (/.f64 15/2 (/.f64 (*.f64 z z) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))) (2))) (((*.f64 (cbrt.f64 (/.f64 15/2 (/.f64 (*.f64 z z) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))) (cbrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((*.f64 (/.f64 1 z) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (2))) (((*.f64 (*.f64 -4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 (neg.f64 z))) (2))) (((*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (cbrt.f64 z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))) (2))) (((*.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) 4103006302980662903082059/4200000000000000000000000))) (2))) (((*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)) (2))) (((*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) (sqrt.f64 15/2)))) (2))) (((*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (cbrt.f64 z) (sqrt.f64 15/2)))) (2))) (((*.f64 (/.f64 (exp.f64 -15/2) 4200000000000000000000000/4103006302980662903082059) (/.f64 (sqrt.f64 15/2) z)) (2))) (((*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) 4103006302980662903082059/4200000000000000000000000)) (/.f64 (sqrt.f64 15/2) (sqrt.f64 z))) (2))) (((*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z))) (2))) (((*.f64 (/.f64 (sqrt.f64 15/2) 1) (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000))) (2))) (((*.f64 (/.f64 (sqrt.f64 15/2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (cbrt.f64 z) (exp.f64 -15/2)))) (2))) (((*.f64 (/.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) (/.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (2))) (((*.f64 (/.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (cbrt.f64 z))) (2))) (((*.f64 (/.f64 (cbrt.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) 1) (/.f64 (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (2))) (((*.f64 (/.f64 (cbrt.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 z))) (2))) (((*.f64 (/.f64 (cbrt.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((pow.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 1) (2))) (((pow.f64 (sqrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 3) (2))) (((pow.f64 (pow.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3) 1/3) (2))) (((pow.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) -1) (2))) (((neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))) (2))) (((sqrt.f64 (/.f64 15/2 (/.f64 (*.f64 z z) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))) (2))) (((log.f64 (exp.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) (2))) (((cbrt.f64 (pow.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3)) (2))) (((cbrt.f64 (/.f64 (pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) (pow.f64 z 3))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))) (((exp.f64 (+.f64 -15/2 (-.f64 (log.f64 4103006302980662903082059/4200000000000000000000000) (log.f64 (/.f64 z (sqrt.f64 15/2)))))) (2))) (((exp.f64 (*.f64 (+.f64 -15/2 (-.f64 (log.f64 4103006302980662903082059/4200000000000000000000000) (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1)) (2))) (((log1p.f64 (expm1.f64 (*.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) (2))))

simplify216.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1774×	`distribute-lft-in`
1038×	`associate-/l*`
842×	`associate-r`
712×	`associate-l`
566×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	10159
1	1264	9991
2	5994	9991

Stop Event

1×	node limit

Counts

211 → 265

Calls

Call 1

Inputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) 1)
(pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) 3)
(pow.f64 (pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 3) 1/3)
(sqrt.f64 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 4103006302980662903082059/4200000000000000000000000) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))))
(cbrt.f64 (pow.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(exp.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000)))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))) 1)
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 1)
(/.f64 1 (/.f64 z (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))))
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(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3)))
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(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))) 1)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
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(*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z))
(.f64 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 1)
(.f64 1 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))
(.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
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(*.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) 4103006302980662903082059/4200000000000000000000000)))
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(pow.f64 (sqrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 3)
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(exp.f64 (+.f64 -15/2 (-.f64 (log.f64 4103006302980662903082059/4200000000000000000000000) (log.f64 (/.f64 z (sqrt.f64 15/2))))))
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(log1p.f64 (expm1.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))

Outputs
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
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(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
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(.f64 (cbrt.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))) z))
(.f64 (cbrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) (cbrt.f64 (/.f64 15/2 (/.f64 (.f64 z z) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (cbrt.f64 (.f64 (/.f64 15/2 (.f64 z z)) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (.f64 z z))) (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))))
(.f64 (cbrt.f64 (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))) (cbrt.f64 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
(.f64 (cbrt.f64 (.f64 (/.f64 15/2 (.f64 z z)) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (.f64 z z))) (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))))
(.f64 (/.f64 1 z) (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(.f64 (.f64 -4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 (neg.f64 z)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 1 (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (.f64 (exp.f64 -15/2) (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (cbrt.f64 z) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 (exp.f64 -15/2) (cbrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))
(.f64 (/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) 4103006302980662903082059/4200000000000000000000000)))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 1 (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (.f64 (exp.f64 -15/2) (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 1 (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (.f64 (exp.f64 -15/2) (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z))))
(*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (cbrt.f64 z) (sqrt.f64 15/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 (exp.f64 -15/2) (cbrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))
(.f64 (/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -15/2) 4200000000000000000000000/4103006302980662903082059) (/.f64 (sqrt.f64 15/2) z))
(*.f64 (/.f64 (sqrt.f64 15/2) z) (/.f64 (exp.f64 -15/2) 4200000000000000000000000/4103006302980662903082059))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 z) 4103006302980662903082059/4200000000000000000000000)) (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 1 (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)) (.f64 (exp.f64 -15/2) (/.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 z))))
(*.f64 (/.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (pow.f64 (cbrt.f64 z) 2) (exp.f64 -15/2))) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 (exp.f64 -15/2) (cbrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))
(.f64 (/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 15/2) 1) (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(*.f64 (/.f64 (sqrt.f64 15/2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (cbrt.f64 z) (exp.f64 -15/2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 (exp.f64 -15/2) (cbrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))
(.f64 (/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1) (/.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(.f64 (/.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (cbrt.f64 z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 (exp.f64 -15/2) (cbrt.f64 z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2))))
(.f64 (/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 15/2) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 15/2 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) 1) (/.f64 (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(.f64 (cbrt.f64 (.f64 15/2 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (.f64 (cbrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))) (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 15/2 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 15/2 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 15/2 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
(.f64 (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) (/.f64 (cbrt.f64 (.f64 15/2 (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))) (pow.f64 (cbrt.f64 z) 2)))
(.f64 (cbrt.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))) (/.f64 (cbrt.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 1)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(pow.f64 (sqrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 2)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(pow.f64 (cbrt.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))) 3)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(pow.f64 (pow.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3) 1/3)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) -1)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(sqrt.f64 (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (.f64 z z)))
(log.f64 (exp.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(cbrt.f64 (pow.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z)) 3))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) (pow.f64 z 3)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(expm1.f64 (log1p.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))
(exp.f64 (+.f64 -15/2 (-.f64 (log.f64 4103006302980662903082059/4200000000000000000000000) (log.f64 (/.f64 z (sqrt.f64 15/2))))))
(exp.f64 (-.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000)) (log.f64 (/.f64 z (sqrt.f64 15/2)))))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (exp.f64 (log.f64 (/.f64 z (sqrt.f64 15/2)))))
(exp.f64 (*.f64 (+.f64 -15/2 (-.f64 (log.f64 4103006302980662903082059/4200000000000000000000000) (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1))
(exp.f64 (-.f64 (+.f64 -15/2 (log.f64 4103006302980662903082059/4200000000000000000000000)) (log.f64 (/.f64 z (sqrt.f64 15/2)))))
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (exp.f64 (log.f64 (/.f64 z (sqrt.f64 15/2)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (sqrt.f64 15/2) z))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z)))

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.4%	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
✓	99.3%	(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	98.4%	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))

Compiler

Compiled 64 to 56 computations (12.5% saved)

series1.0ms (0%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
0.0ms	z	@	0	(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
0.0ms	z	@	0	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
0.0ms	z	@	-inf	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
0.0ms	z	@	inf	(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))

rewrite152.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-/r/`
530×	`associate-/l/`
436×	`distribute-lft-neg-in`
382×	`add-sqr-sqrt`
364×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	102
1	390	100
2	4839	100

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))

Outputs
((((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1) (2))) (((pow.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1) (2))) (((pow.f64 (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 2) (2))) (((pow.f64 (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 3) (2))) (((pow.f64 (pow.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 3) 1/3) (2))) (((neg.f64 (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((sqrt.f64 (.f64 15/2 (exp.f64 -15))) (2))) (((log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (2))) (((cbrt.f64 (pow.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 3)) (2))) (((cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2)))) (2))) (((cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3))) (2))) (((expm1.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2)))) (2))) (((exp.f64 (.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1)) (2))) (((log1p.f64 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))))
((((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1) (2))) (((.f64 (sqrt.f64 (PI.f64)) 1) (2))) (((.f64 1 (sqrt.f64 (PI.f64))) (2))) (((.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4)) (2))) (((.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (2))) (((.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (2))) (((.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64)))) (2))) (((.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64))) (2))) (((.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2)) (2))) (((pow.f64 (PI.f64) 1/2) (2))) (((pow.f64 (sqrt.f64 (PI.f64)) 1) (2))) (((pow.f64 (pow.f64 (PI.f64) 1/4) 2) (2))) (((pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3) (2))) (((pow.f64 (pow.f64 (PI.f64) 3/2) 1/3) (2))) (((fabs.f64 (sqrt.f64 (PI.f64))) (2))) (((log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64))))) (2))) (((cbrt.f64 (pow.f64 (PI.f64) 3/2)) (2))) (((expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) (2))) (((exp.f64 (log.f64 (sqrt.f64 (PI.f64)))) (2))) (((exp.f64 (.f64 (log.f64 (PI.f64)) 1/2)) (2))) (((exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1)) (2))) (((log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64)))) (2))))
((((-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) 1) (2))) (((.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) (2))) (((.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (2))) (((.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 1) (2))) (((.f64 1 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) (2))) (((.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) (2))) (((.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) (cbrt.f64 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))) (2))) (((.f64 (cbrt.f64 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) (2))) (((.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) (sqrt.f64 2)) (2))) (((.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 -15/2)) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 2) z) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 2) z) (cbrt.f64 (.f64 15/2 (exp.f64 -15)))) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 1 z) (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 1 z) (.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (.f64 1 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) (2))) (((.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) (2))) (((.f64 (/.f64 (sqrt.f64 2) 1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (sqrt.f64 z))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (cbrt.f64 z))) (2))) (((.f64 (.f64 1 (/.f64 (exp.f64 -15/2) z)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 1 (neg.f64 z)) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (2))) (((.f64 (.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 -15/2)) (sqrt.f64 15/2)) (2))) (((.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (pow.f64 2 1/4) z) (.f64 (/.f64 (pow.f64 2 1/4) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (pow.f64 2 1/4) 1) (.f64 (/.f64 (pow.f64 2 1/4) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (.f64 (/.f64 (pow.f64 2 1/4) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (pow.f64 2 1/4)) (2))) (((.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) (2))) (((.f64 (/.f64 (cbrt.f64 2) z) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (cbrt.f64 2) 1) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) (2))) (((.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) (2))) (((.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (neg.f64 (sqrt.f64 2))) (2))) (((.f64 (/.f64 (sqrt.f64 2) -1) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (neg.f64 (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 z 1)) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 z (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 15/2 1/4))) (pow.f64 15/2 1/4)) (2))) (((.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (cbrt.f64 15/2) (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 1 (/.f64 z (.f64 (pow.f64 2 1/4) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (pow.f64 2 1/4)) (2))) (((.f64 (/.f64 1 (/.f64 z (.f64 (cbrt.f64 2) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (cbrt.f64 (sqrt.f64 2))) (2))) (((.f64 (/.f64 (cbrt.f64 2) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 2))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) 1) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (exp.f64 -15/2))) (sqrt.f64 15/2)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (sqrt.f64 15/2))) (exp.f64 -15/2)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) z) -1) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (neg.f64 (sqrt.f64 2)) -1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (2))) (((.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (sqrt.f64 15/2)) (2))) (((.f64 (/.f64 (neg.f64 (sqrt.f64 2)) z) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (sqrt.f64 z))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (cbrt.f64 z))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z 1)) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 15/2 1/4))) (pow.f64 15/2 1/4)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (.f64 (cbrt.f64 15/2) (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) -1) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (neg.f64 (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) 1) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (/.f64 z (exp.f64 -15/2)))) (pow.f64 15/2 1/4)) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) 1) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (/.f64 z (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2))) (2))) (((.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (2))) (((pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 1) (2))) (((pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) 2) (2))) (((pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) 3) (2))) (((pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 3) 1/3) (2))) (((pow.f64 (/.f64 z (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) -1) (2))) (((neg.f64 (.f64 (/.f64 (sqrt.f64 2) z) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (2))) (((sqrt.f64 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (2))) (((log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))) (2))) (((cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 3)) (2))) (((cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 3))) (2))) (((expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) (2))) (((exp.f64 (+.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) (log.f64 (/.f64 (sqrt.f64 2) z)))) (2))) (((exp.f64 (.f64 (+.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) (log.f64 (/.f64 (sqrt.f64 2) z))) 1)) (2))) (((log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) (2))))
((((-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))) 1) (2))) (((/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) 4103006302980662903082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((/.f64 (.f64 (.f64 (sqrt.f64 2) 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (2))) (((pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 1) (2))) (((pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))) 2) (2))) (((pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))) 3) (2))) (((pow.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 3) 1/3) (2))) (((sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) (2))) (((log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))))) (2))) (((cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 3)) (2))) (((cbrt.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)) 3))) (2))) (((cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)) 3) (pow.f64 (PI.f64) 3/2))) (2))) (((expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))) (2))) (((exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))) (2))) (((exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))) 1)) (2))) (((log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (*.f64 15/2 (exp.f64 -15))))))))) (2))))

simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1674×	`distribute-rgt-in`
1672×	`distribute-lft-in`
1374×	`associate-/r/`
720×	`associate-r`
516×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	387	6196
1	1023	6094
2	4089	6094

Stop Event

1×	node limit

Counts

174 → 224

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))) 1)
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))
(.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 1)
(.f64 1 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) (cbrt.f64 (/.f64 2 (/.f64 (.f64 z z) (*.f64 15/2 (exp.f64 -15))))))
(.f64 (cbrt.f64 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) (sqrt.f64 2))
(.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 -15/2))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) 1) (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (cbrt.f64 (.f64 15/2 (exp.f64 -15)))) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 1 z) (.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (.f64 1 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))))
(.f64 (/.f64 (sqrt.f64 2) 1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))
(.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (cbrt.f64 z)))
(.f64 (.f64 1 (/.f64 (exp.f64 -15/2) z)) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 -15/2)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (pow.f64 2 1/4) z) (.f64 (/.f64 (pow.f64 2 1/4) 1) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (.f64 (/.f64 (pow.f64 2 1/4) z) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (.f64 (/.f64 (pow.f64 2 1/4) z) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) (pow.f64 2 1/4))
(.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))))
(.f64 (/.f64 (cbrt.f64 2) z) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) 1) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (cbrt.f64 2) 1) (.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) z) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))
(.f64 (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (neg.f64 (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) -1) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (neg.f64 (sqrt.f64 15/2)))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 z 1)) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 z (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 15/2 1/4))) (pow.f64 15/2 1/4))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (cbrt.f64 15/2) (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2)))
(.f64 (/.f64 1 (/.f64 z (.f64 (pow.f64 2 1/4) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (pow.f64 2 1/4))
(.f64 (/.f64 1 (/.f64 z (.f64 (cbrt.f64 2) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 2) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) z) 1) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) z) 1) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 1))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (exp.f64 -15/2))) (sqrt.f64 15/2))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (sqrt.f64 15/2))) (exp.f64 -15/2))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (/.f64 1 (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) z) -1) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) -1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (sqrt.f64 15/2))
(.f64 (/.f64 (neg.f64 (sqrt.f64 2)) z) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) 1) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (sqrt.f64 z)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (cbrt.f64 z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z 1)) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (cbrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 15/2 1/4))) (pow.f64 15/2 1/4))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 z (.f64 (cbrt.f64 15/2) (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) -1) (neg.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 2) 1) (neg.f64 (/.f64 z (exp.f64 -15/2)))) (neg.f64 (sqrt.f64 15/2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) 1) (sqrt.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (/.f64 z (exp.f64 -15/2)))) (pow.f64 15/2 1/4))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) 1) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (*.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (/.f64 z (exp.f64 -15/2)))) (cbrt.f64 (sqrt.f64 15/2)))
(.f64 (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 3) 1/3)
(pow.f64 (/.f64 z (.f64 (sqrt.f64 2) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) -1)
(neg.f64 (.f64 (/.f64 (sqrt.f64 2) z) (neg.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))
(sqrt.f64 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z)) 3))
(cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))
(exp.f64 (+.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) (log.f64 (/.f64 (sqrt.f64 2) z))))
(exp.f64 (*.f64 (+.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) (log.f64 (/.f64 (sqrt.f64 2) z))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))) 1)
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) 4103006302980662903082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 3) 1/3)
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))) 3))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 4103006302980662903082059/4200000000000000000000000)) 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (*.f64 15/2 (exp.f64 -15)))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))))

Outputs
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 15/2) (*.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (/.f64 (exp.f64 -15/2) z))) (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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localize61.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
✓	98.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)
	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 136 to 83 computations (39% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`add-sqr-sqrt`
548×	`*-un-lft-identity`
546×	`pow1`
534×	`add-exp-log`
532×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	152
1	570	144
2	7497	144

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000)

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))

Outputs

((((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) 1) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1) (2))) (((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 3) (2))) (((pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) 1/3) (2))) (((sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 2)))) (2))) (((log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2)))))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))) (2))) (((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3)) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) (2))) (((exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2))))))) (2))) (((exp.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))))) 1)) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) (2))))

((((-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) 1) (2))) (((/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) (2))) (((/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (2))) (((/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) (2))) (((/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (*.f64 (PI.f64) z))) (2))) (((/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1) (sin.f64 (*.f64 (PI.f64) z))) (2))) (((/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1) (2))) (((pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 3) (2))) (((pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2)) (2))) (((log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (2))) (((cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3)) (2))) (((cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))) (2))) (((cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (2))) (((exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1)) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (2))))

simplify125.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/r*`
1266×	`associate-*r/`
1002×	`associate-*l/`
582×	`associate-r`
556×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	6152
1	775	5818
2	3311	5794

Stop Event

1×	node limit

Counts

62 → 93

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) 1/3)
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))) 2))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 z -15/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))))))
(exp.f64 (.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))) 1)
(/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 1) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(/.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))))) (.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) 3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 2))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))) 2))
(fabs.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(fabs.f64 (.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (*.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) 3))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) 1))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))

localize201.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	98.5%	(+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	98.5%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	98.5%	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 364 to 281 computations (22.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

0.0ms

-inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

0.0ms

inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1152×	`add-exp-log`
1152×	`add-cbrt-cube`
1152×	`add-log-exp`
1152×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	167
1	1192	167

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

Outputs

((((+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (2))) (((+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) (2))) (((pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1) (2))) (((log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))) (((log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (2))))

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-+r+`
1064×	`associate-+l+`
820×	`times-frac`
706×	`associate-*r/`
674×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3746
1	626	3566
2	2526	3334

Stop Event

1×	node limit

Counts

20 → 46

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (+.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))))) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))))) (sqrt.f64 (PI.f64))))))
(.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) z))) (sqrt.f64 (PI.f64)))) (.f64 11516183879996384915397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))))
(.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (.f64 6493665628732592227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))) (.f64 6493665628732592227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))))
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(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 6764801184542762983/90000000000000000))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 6764801184542762983/90000000000000000))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 6764801184542762983/90000000000000000))))))

eval691.0ms (0.8%)

Compiler: Compiled 36174 to 28519 computations (21.2% saved)

prune259.0ms (0.3%)

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	854	30	884
Fresh	14	19	33
Picked	0	1	1
Done	3	2	5
Total	871	52	923

Error

100.0%

Counts

923 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	14.0%	(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
	96.2%	(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
	14.0%	(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
	14.0%	(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
	14.0%	(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
	14.0%	(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	14.0%	(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
	96.2%	(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
	14.0%	(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000))))))
	2.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000)))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	99.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	95.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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✓	14.0%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
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Compiler

Compiled 2087 to 1733 computations (17% saved)

regimes213.0ms (0.3%)

Counts

94 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
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(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (cbrt.f64 (.f64 (+.f64 -1 (-.f64 1 z)) (.f64 (+.f64 -1 (-.f64 1 z)) (+.f64 -1 (-.f64 1 z))))) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 (pow.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))) (/.f64 (pow.f64 (/.f64 3147848041806007/2500000000000 (+.f64 z -2)) 2) (-.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 z -1)) (/.f64 3147848041806007/2500000000000 (+.f64 z -2))))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (*.f64 5826188486005177/10000000000000 z)) (*.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

2 calls:

48.0ms

47.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Results

Error	Segments	Branch
99.4%	1	`z`
99.4%	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 4583 to 3515 computations (23.3% saved)

regimes135.0ms (0.2%)

Counts

75 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
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Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

1 calls:

42.0ms

Results

Error	Segments	Branch
99.3%	1	`z`

Compiler

Compiled 2582 to 1902 computations (26.3% saved)

regimes151.0ms (0.2%)

Counts

71 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
99.3%	1	`z`

Compiler

Compiled 2285 to 1674 computations (26.7% saved)

regimes316.0ms (0.4%)

Counts

70 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
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(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 6493665628732592227/30000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
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(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 6764801184542762983/90000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

Calls

1 calls:

115.0ms

Results

Error	Segments	Branch
98.4%	1	`z`

Compiler

Compiled 2211 to 1618 computations (26.8% saved)

regimes178.0ms (0.2%)

Counts

69 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 z 6764801184542762983/90000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))

Calls

1 calls:

76.0ms

Results

Error	Segments	Branch
97.8%	1	`z`

Compiler

Compiled 2137 to 1562 computations (26.9% saved)

regimes121.0ms (0.1%)

Counts

68 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
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Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
97.8%	1	`z`

Compiler

Compiled 2063 to 1506 computations (27% saved)

regimes86.0ms (0.1%)

Counts

59 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 6493665628732592227/30000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
97.2%	1	`z`

Compiler

Compiled 1531 to 1124 computations (26.6% saved)

regimes63.0ms (0.1%)

Counts

57 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 6493665628732592227/30000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (.f64 2 (PI.f64))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
96.3%	1	`z`

Compiler

Compiled 1431 to 1056 computations (26.2% saved)

regimes88.0ms (0.1%)

Counts

46 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 2))) (exp.f64 (+.f64 -15/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (exp.f64 (+.f64 -15/2 z)))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (pow.f64 (+.f64 15/2 z) (+.f64 z 1/2)) (.f64 (exp.f64 (+.f64 z -15/2)) 1106209385320415913103082059/4200000000000000000000000)))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))

Calls

1 calls:

62.0ms

Results

Error	Segments	Branch
96.2%	1	`z`

Compiler

Compiled 982 to 751 computations (23.5% saved)

regimes29.0ms (0%)

Counts

26 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 -15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 15/2))))

Outputs

(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
14.0%	1	`z`

Compiler

Compiled 529 to 428 computations (19.1% saved)

regimes46.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
14.0%	1	`z`

Compiler

Compiled 268 to 221 computations (17.5% saved)

regimes17.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(/.f64 (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 15/2)) (/.f64 z (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (neg.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 (neg.f64 z) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 4103006302980662903082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 1 z))))
(/.f64 1 (/.f64 (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 (sqrt.f64 15/2))) z)

Outputs
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
14.0%	1	`z`

Compiler

Compiled 234 to 192 computations (17.9% saved)

regimes10.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.00b (-0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) 15/2)) (exp.f64 -15))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 (.f64 (/.f64 z 15/2) (/.f64 z (exp.f64 -15))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) z) (/.f64 (exp.f64 -15) (/.f64 z 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000 (/.f64 2 (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 15/2 (.f64 z z)) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (/.f64 15/2 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))

Outputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
3.5%	1	`z`

Compiler

Compiled 100 to 76 computations (24% saved)

simplify317.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1076×	`distribute-lft-neg-in`
980×	`*-commutative`
742×	`+-commutative`
620×	`distribute-neg-in`
504×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	174	1929
1	293	1921
2	313	1921
3	348	1921
4	401	1921
5	469	1921
6	530	1921
7	566	1921
8	618	1921
9	697	1921
10	878	1921
11	1157	1921
12	1485	1921
13	1806	1921
14	2132	1921
15	2455	1921
16	2725	1921
17	2955	1921
18	3179	1921
19	3208	1921
20	3219	1921
21	3313	1921
22	3466	1921
23	3488	1921
24	3519	1921
25	3535	1921
26	3538	1921
27	3538	1921

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (.f64 5826188486005177/10000000000000 z)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (.f64 5826188486005177/10000000000000 z)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 469507597606837/5000000000000 (.f64 z 5826188486005177/10000000000000)) (.f64 (-.f64 1 z) (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) (/.f64 z 4103006302980662903082059/4200000000000000000000000))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 16834660722299047347928306329752967843321287679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))

Compiler

Compiled 630 to 516 computations (18.1% saved)

soundness310.0ms (0.4%)

Algorithm

3×	egg-herbie

Rules

1620×	`associate-+r+`
1248×	`associate-+l+`
1204×	`associate-/r*`
1116×	`+-commutative`
960×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	316	6658
1	931	5176
2	4177	4944
0	290	5623
1	838	4955
2	3621	4933

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 510 to 424 computations (16.9% saved)

end588.0ms (0.7%)

Compiler: Compiled 618 to 471 computations (23.8% saved)