Details

analyze934.0ms (1.1%)

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 (75.1%)

Results

56.4s	3985×	body	8192	exit
5.7s	8256×	body	256	valid
116.0ms	104×	body	256	infinite
38.0ms	67×	body	256	unsamplable

Bogosity

preprocess43.0ms (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)

simplify47.0ms (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)

prune18.0ms (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

0.3b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.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)))))
▶	0.5b	(.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))))))
▶	1.0b	(.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))))))))
▶	1.4b	(.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)))))))
▶	1.0b	(.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)

localize327.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	4.7b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
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 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
0.0ms	z	@	inf	(+.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)))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`add-sqr-sqrt`
696×	`add-cbrt-cube`
696×	`add-cube-cbrt`
694×	`add-exp-log`
692×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	112
1	762	106

Stop Event

1×	node limit

Counts

4 → 76

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 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 z 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 z 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 0 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 0 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 0 z)) (sqrt.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (pow.f64 (-.f64 0 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 0 z) 2)) (cbrt.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (-.f64 0 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 3) -1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (neg.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 0 z) 1/2) (pow.f64 (-.f64 0 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 0 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (-.f64 0 z) (pow.f64 (-.f64 0 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 0 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 2) 1/4) (pow.f64 (.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))))

simplify86.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-r`
1298×	`associate-l`
1074×	`distribute-lft-in`
904×	`distribute-rgt-in`
536×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3762
1	649	3276
2	2146	3256

Stop Event

1×	node limit

Counts

112 → 180

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))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(-.f64 1 (-.f64 z -1))
(-.f64 1 (-.f64 (+.f64 z 0) -1))
(-.f64 (-.f64 1 z) 1)
(-.f64 (-.f64 0 z) 0)
(-.f64 0 z)
(-.f64 0 (+.f64 z 0))
(*.f64 1 (-.f64 0 z))
(*.f64 (-.f64 0 z) 1)
(*.f64 (sqrt.f64 (-.f64 0 z)) (sqrt.f64 (-.f64 0 z)))
(*.f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (pow.f64 (-.f64 0 z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 0 z) 2)) (cbrt.f64 (-.f64 0 z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (-.f64 0 z))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 3) -1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (neg.f64 (-.f64 1 z)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))
(*.f64 (pow.f64 (-.f64 0 z) 1/2) (pow.f64 (-.f64 0 z) 1/2))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (-.f64 1 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (-.f64 1 z))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))
(pow.f64 (-.f64 0 z) 1)
(log.f64 (exp.f64 (-.f64 0 z)))
(cbrt.f64 (*.f64 (-.f64 0 z) (pow.f64 (-.f64 0 z) 2)))
(expm1.f64 (log1p.f64 (-.f64 0 z)))
(exp.f64 (log.f64 (-.f64 0 z)))
(log1p.f64 (expm1.f64 (-.f64 0 z)))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (pow.f64 (.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2))
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))

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 (/.f64 3683516130645841/2000000000000 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 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 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z 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)))
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(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize252.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 498 to 393 computations (21.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	@	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))))
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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`add-sqr-sqrt`
804×	`add-exp-log`
804×	`add-cbrt-cube`
804×	`add-log-exp`
804×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	153
1	825	153

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

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simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1510×	`fma-def`
964×	`associate-+r-`
962×	`associate-+l-`
700×	`*-commutative`
582×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	3711
1	547	3595
2	2358	3391
3	6668	3391

Stop Event

1×	node limit

Counts

75 → 129

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))))
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(/.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)
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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
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(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.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)))))) (-.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 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.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))))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(*.f64 1 (+.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)))) 1)
(*.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))))))
(.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)))))))
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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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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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(/.f64 (+.f64 (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))) (-.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)))) 1)
(/.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)))))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (-.f64 (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(log.f64 (exp.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))))
(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))))

localize263.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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))))))
✓	1.0b	(+.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))))))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 477 to 364 computations (23.7% saved)

series9.0ms (0%)

Counts

3 → 36

Calls

9 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 (+.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))))))
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 (+.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))))))
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 (+.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))))))
1.0ms	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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

rewrite98.0ms (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	347
1	1499	347

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

(+.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))))))

(*.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))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))

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simplify163.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-*r/`
1192×	`associate-*l/`
654×	`associate--r+`
532×	`associate-r`
530×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	7660
1	992	6724
2	4774	6698

Stop Event

1×	node limit

Counts

66 → 126

Calls

Call 1

Inputs
646366562873259793/3000000000000000
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(/.f64 -121443148578839881/200000000000000 z)
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7902188421553103227/30000000000000000
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Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 2 (PI.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 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

localize316.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
✓	1.0b	(+.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(+.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	@	inf	(/.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	@	0	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
0.0ms	z	@	0	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))

rewrite124.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`associate-+l+`
610×	`+-commutative`
468×	`add-sqr-sqrt`
444×	`add-exp-log`
444×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	123
1	450	99
2	6804	99

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs

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

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

Outputs

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simplify171.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1392×	`associate-/r*`
1004×	`associate-+l+`
974×	`+-commutative`
950×	`associate-+r+`
660×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	436	7816
1	1099	7542
2	4019	7540

Stop Event

1×	node limit

Counts

152 → 226

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))))))
9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(/.f64 1 (/.f64 (.f64 (-.f64 1 z) (-.f64 2 z)) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (neg.f64 z) -1))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (.f64 (-.f64 1 z) 2))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1)
(pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3)
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

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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9151757080597036297/30000000000000000
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(+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)
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(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (fma.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000 (.f64 (.f64 z z) 295755570232608827/540000000000000))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (fma.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000 (.f64 z (.f64 z 295755570232608827/540000000000000))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
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(-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 943522900885677/5000000000000 z))
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(-.f64 9999999999998099/10000000000000000 (+.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)))))
(-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.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)))))
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(-.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -943522900885677/5000000000000 z) (+.f64 (/.f64 (/.f64 1180530552525097/2500000000000 z) z) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
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(+.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))
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(+.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 (.f64 z z) 7713234287776531/270000000000000 (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(/.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)))
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(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 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 7713234287776531/10000000000000 z)))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(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 69419108589988779/10000000000000 (pow.f64 z 3)) (/.f64 23139702863329593/10000000000000 (*.f64 z z))) (/.f64 7713234287776531/10000000000000 z))))
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(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (neg.f64 z) -1))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (-.f64 -1 z))
(/.f64 (*.f64 7713234287776531/10000000000000 (-.f64 -1 z)) (+.f64 (pow.f64 (-.f64 1 z) 2) -4))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (.f64 (-.f64 1 z) 2))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (.f64 2 (-.f64 1 z)))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 4 (.f64 2 (+.f64 -1 z)))))
(/.f64 (.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 2 (.f64 2 (neg.f64 z))))) (+.f64 (pow.f64 (-.f64 1 z) 3) 8))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3)
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))

localize376.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	4.7b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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)))
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))))
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)))

rewrite103.0ms (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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 (-.f64 1 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) (+.f64 1 (*.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 z) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1)) (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))))))

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simplify102.0ms (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)))))))))

eval2.3s (2.7%)

Compiler: Compiled 109355 to 88841 computations (18.8% saved)

prune1.2s (1.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1034	18	1052
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	1037	20	1057

Error

0.3b

Counts

1057 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(.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 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.7b	(.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 (cbrt.f64 (.f64 (+.f64 -1 (-.f64 1 z)) (.f64 (+.f64 -1 (-.f64 1 z)) (+.f64 -1 (-.f64 1 z))))) 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)))))
	1.0b	(.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 12777243138120953/60000000000000 (.f64 z (+.f64 53758197989915921/720000000000000 (.f64 z 222980468271960011/8640000000000000))))) (+.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))))))
▶	1.7b	(.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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))))))))
	1.3b	(.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 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.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))))))))
	1.2b	(.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))))))))
✓	1.0b	(.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))))))))
▶	0.8b	(.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))))))))
	2.2b	(.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 9151757080597036297/30000000000000000 (+.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))))))))
▶	0.5b	(.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 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)) (+.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)))))))
▶	0.8b	(.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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))
	1.4b	(.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 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (/.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)))))))
	2.6b	(.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 469507597606837/10000000000000 (/.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)))))))
	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.0b	(.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)))))))
	1.3b	(.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 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.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 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.7b	(.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)))))))
	1.0b	(.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 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(.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 2900 to 2399 computations (17.3% saved)

localize245.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 626 to 518 computations (17.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

602×	`+-commutative`
492×	`associate-+l+`
478×	`add-sqr-sqrt`
454×	`add-exp-log`
454×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	68
1	466	68
2	6791	68

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs

(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)

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

Outputs

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simplify101.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

784×	`+-commutative`
766×	`associate-+l+`
746×	`unswap-sqr`
720×	`associate-+r+`
684×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5185
1	700	5079
2	2850	4713

Stop Event

1×	node limit

Counts

91 → 149

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.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)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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7713234287776531/30000000000000
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(/.f64 (neg.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3))) (neg.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 z 3))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 z (.f64 z 295755570232608827/540000000000000))))
(+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z))
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9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 943522900885677/5000000000000 z) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)))))
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7713234287776531/30000000000000
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(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
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(/.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)))
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(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 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)))))
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))) 1))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 z 3))))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 z 3) 9))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(sqrt.f64 (pow.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 2))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))

localize109.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.0b	(.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))))))
✓	1.0b	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 249 to 176 computations (29.3% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 (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))))

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`add-sqr-sqrt`
840×	`add-exp-log`
838×	`add-cbrt-cube`
838×	`add-log-exp`
838×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	211
1	879	211

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7902188421553103227/30000000000000000 (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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)))))) (*.f64 7902188421553103227/30000000000000000 (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))))))

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simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-+r+`
1392×	`associate-+l+`
966×	`associate-*r/`
858×	`associate-*l/`
828×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	5677
1	806	5409
2	3625	5375

Stop Event

1×	node limit

Counts

63 → 105

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(.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 (.f64 7902188421553103227/30000000000000000 (.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)))))))
(+.f64 (.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)))))) (.f64 7902188421553103227/30000000000000000 (.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 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) 1)
(log.f64 (exp.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(exp.f64 (log.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(log.f64 (exp.f64 (*.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)))))))
(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))))))

Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 z (.f64 z -76044331624539137747479981/118540800000000000000000000000))))
(+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000) (.f64 z (.f64 z -76044331624539137747479981/118540800000000000000000000000)))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))))
(+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 z (.f64 z -76044331624539137747479981/118540800000000000000000000000))) (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) 1106209385320415913103082059/4200000000000000000000000))
7902188421553103227/30000000000000000
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7902188421553103227/30000000000000000
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(fma.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (sqrt.f64 15/2) (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) 18583774503776522120058169159/141120000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000)) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (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))))))
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(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(log.f64 (exp.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)) (exp.f64 (-.f64 -15/2 (neg.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)) (exp.f64 (-.f64 -15/2 (neg.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)) (exp.f64 (-.f64 -15/2 (neg.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)) (exp.f64 (-.f64 -15/2 (neg.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.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))))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.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)) (exp.f64 (-.f64 -15/2 (neg.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (.f64 2 (PI.f64))))))
(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)))
(*.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)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(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)))))))
(*.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 -15/2 (neg.f64 z))))))
(*.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)))
(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)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))

localize157.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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))))))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 391 to 305 computations (22% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.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))))))))
2.0ms	z	@	-inf	(.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))))))))
2.0ms	z	@	inf	(.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))))))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`add-sqr-sqrt`
1284×	`add-exp-log`
1284×	`add-log-exp`
1282×	`add-cbrt-cube`
1282×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	200
1	1333	200

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 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))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))) (sqrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))) (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)))) (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))) (-.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (*.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))))

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simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-+r+`
1048×	`associate-*r/`
984×	`associate-+l+`
922×	`associate-/l*`
908×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	5218
1	789	4482
2	3180	4458

Stop Event

1×	node limit

Counts

42 → 69

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(.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 40269435042492127/90000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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Outputs
9151757080597036297/30000000000000000
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.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)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.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)))))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.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 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.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)))))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.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 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.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)))))))))))
(.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.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 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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))))))

localize221.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 494 to 390 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
0.0ms	z	@	-inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

rewrite131.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`+-commutative`
478×	`add-sqr-sqrt`
454×	`add-exp-log`
454×	`add-cbrt-cube`
454×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	466	92
2	6723	92

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))

(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 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simplify192.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1278×	`+-commutative`
866×	`associate--r+`
732×	`associate-/r*`
548×	`associate--l+`
496×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	10409
1	1017	10047
2	3859	10007

Stop Event

1×	node limit

Counts

129 → 232

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.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)))))
9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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28038845331433078297/30000000000000000
(+.f64 28038845331433078297/30000000000000000 (*.f64 6860006741874619/9000000000000 z))
(+.f64 (.f64 47593433420171377/67500000000000 (pow.f64 z 2)) (+.f64 28038845331433078297/30000000000000000 (.f64 6860006741874619/9000000000000 z)))
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(/.f64 1 (/.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))))
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(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)
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Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 z (.f64 z 295755570232608827/540000000000000))))
(+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 z))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (.f64 (.f64 z z) (+.f64 295755570232608827/540000000000000 (*.f64 z 1967803238479727281/3240000000000000))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z))
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(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) 1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) 99999999999961980000000003613801/100000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 -9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 99999999999961980000000003613801/100000000000000000000000000000000))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 3)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3) 1/3)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(fabs.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fabs.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

localize271.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))
✓	0.9b	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 480 to 395 computations (17.7% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))
1.0ms	z	@	-inf	(.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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))
1.0ms	z	@	inf	(.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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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))))

rewrite150.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`add-sqr-sqrt`
1298×	`add-exp-log`
1298×	`*-un-lft-identity`
1296×	`add-cbrt-cube`
1296×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	415
1	1342	415

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)))))))

Outputs

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simplify142.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-*r/`
1204×	`associate-*l/`
918×	`associate-/r*`
626×	`fma-def`
588×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	9354
1	1121	7352
2	4858	7056

Stop Event

1×	node limit

Counts

66 → 138

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
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(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (.f64 40269435042492127/90000000000000 z)))
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(*.f64 40269435042492127/90000000000000 z)
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-41652288634797769/1000000000000000
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(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2)))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2)))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2)))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 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 z (PI.f64)))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2)))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 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 z (PI.f64)))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2)))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))
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(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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)))))))
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(.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

eval2.0s (2.5%)

Compiler: Compiled 78447 to 61470 computations (21.6% saved)

prune861.0ms (1%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	899	19	918
Fresh	10	3	13
Picked	1	0	1
Done	3	3	6
Total	913	25	938

Error

0.0b

Counts

938 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.9b	(.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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))))))))
	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 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))))))))
✓	1.0b	(.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))))))))
	0.8b	(.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.8b	(.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))))))))
	1.4b	(.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.5b	(.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 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)) (+.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)))))))
▶	0.8b	(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.6b	(.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 4560878540298521/15000000000000 9999999999998099/10000000000000000)) (+.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)))))))
	1.4b	(.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 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (/.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)))))))
	1.3b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
▶	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.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 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.2b	(.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))
▶	1.7b	(.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.0b	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	1.1b	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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)))))))
	0.9b	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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))))))
	1.0b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
	1.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
▶	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 2514 to 2084 computations (17.1% saved)

localize164.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
✓	0.4b	(*.f64 -105381455914863113/10000000000000000 z)
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 397 to 321 computations (19.1% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

9 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)) (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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
2.0ms	z	@	-inf	(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
1.0ms	z	@	inf	(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	-inf	(*.f64 -105381455914863113/10000000000000000 z)

rewrite96.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`add-sqr-sqrt`
1164×	`add-exp-log`
1164×	`add-log-exp`
1164×	`*-un-lft-identity`
1162×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	311
1	1206	311

Stop Event

1×	node limit

Counts

3 → 24

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

(*.f64 -105381455914863113/10000000000000000 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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -105381455914863113/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z -105381455914863113/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 z -105381455914863113/10000000000000000) (*.f64 z -105381455914863113/10000000000000000)) (*.f64 z -105381455914863113/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -105381455914863113/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -105381455914863113/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -105381455914863113/10000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 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simplify193.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-+r+`
1030×	`associate-*r/`
970×	`associate-/l*`
958×	`+-commutative`
912×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	7066
1	905	5912
2	3878	5534

Stop Event

1×	node limit

Counts

48 → 104

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
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(*.f64 39321001939258358983/90000000000000000 z)
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
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(pow.f64 (*.f64 z -105381455914863113/10000000000000000) 1)
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(expm1.f64 (log1p.f64 (*.f64 z -105381455914863113/10000000000000000)))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2)))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))
(.f64 (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 7 (-.f64 1 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 13/2 (-.f64 1 z)) (-.f64 1/2 z)))) (.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 1 (-.f64 z 13/2)) (+.f64 (-.f64 1 z) -1/2))) (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (exp.f64 (neg.f64 (-.f64 1 (-.f64 z 13/2)))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))))
(.f64 (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 7 (-.f64 1 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 13/2 (-.f64 1 z)) (-.f64 1/2 z)))) (.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sqrt.f64 2) z)
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))

Compiler

Compiled 62 to 52 computations (16.1% saved)

series10.0ms (0%)

Counts

4 → 12

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
1.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(/.f64 (sqrt.f64 2) z)
0.0ms	z	@	0	(/.f64 (sqrt.f64 2) z)

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-*r/`
1414×	`associate-*l/`
986×	`associate-/r*`
374×	`add-sqr-sqrt`
356×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	384	80
2	4513	80

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (sqrt.f64 (PI.f64)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 z (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (sqrt.f64 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))))))

simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1644×	`unswap-sqr`
884×	`distribute-lft-neg-in`
826×	`associate-r`
816×	`distribute-rgt-neg-in`
682×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	4529
1	793	4367
2	4288	4367

Stop Event

1×	node limit

Counts

137 → 163

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.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 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 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 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(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 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(-.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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)))) z)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)))) z)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) z)
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(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 z (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2))) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2)))) (neg.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (neg.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) 1)) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (neg.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)))) (neg.f64 z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (pow.f64 2 1/4) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (pow.f64 2 1/4)))
(/.f64 (.f64 (cbrt.f64 2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) 1) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (/.f64 z (sqrt.f64 2))))
(/.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (neg.f64 z)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 z (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) 1) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (sqrt.f64 z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))
(/.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2)) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z)
(pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 1)
(pow.f64 (sqrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 2)
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(pow.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))))
(cbrt.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(exp.f64 (.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z))))))) 1))
(log1p.f64 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 z))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(pow.f64 (sqrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 2)
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(pow.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3) 1/3)
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(cbrt.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(exp.f64 (.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z))))))) 1))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(log1p.f64 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(/.f64 (sqrt.f64 2) z)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z))
(/.f64 (pow.f64 2 1/2) z)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) z)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 1 (sqrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 z))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z))
(/.f64 (pow.f64 2 1/2) z)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (pow.f64 2 1/2) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(/.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 z) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (sqrt.f64 2) z))) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) z)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(/.f64 (sqrt.f64 2) z)
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(/.f64 (sqrt.f64 2) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(/.f64 (sqrt.f64 2) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(/.f64 (sqrt.f64 2) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)

localize114.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	1.0b	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 190 to 148 computations (22.1% 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 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`add-sqr-sqrt`
698×	`add-exp-log`
698×	`add-log-exp`
696×	`add-cbrt-cube`
696×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	93
1	738	93

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.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 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 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simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1784×	`times-frac`
1492×	`fma-def`
1122×	`associate-/l*`
966×	`+-commutative`
636×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	3684
1	429	3500
2	2021	3218
3	7734	3218

Stop Event

1×	node limit

Counts

28 → 65

Calls

Call 1

Inputs
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Outputs
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(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.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) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (+.f64 7902188421553103227/30000000000000000 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.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) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (+.f64 7902188421553103227/30000000000000000 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.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) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (+.f64 7902188421553103227/30000000000000000 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (.f64 2 (PI.f64)))))

localize256.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
✓	1.0b	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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)))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 460 to 364 computations (20.9% saved)

series10.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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)))))))))
1.0ms	z	@	-inf	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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)))))))))
1.0ms	z	@	inf	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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)))))))))
1.0ms	z	@	0	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
0.0ms	z	@	-inf	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`add-sqr-sqrt`
1234×	`*-un-lft-identity`
1232×	`add-exp-log`
1232×	`add-log-exp`
1230×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	356
1	1279	356

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.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)))))))))

(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.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))))))))) (sin.f64 (*.f64 z (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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))))))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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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simplify157.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-*r/`
1152×	`associate-+r+`
1042×	`associate-/r*`
976×	`associate-+l+`
970×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	9344
1	930	8088
2	3835	8042

Stop Event

1×	node limit

Counts

40 → 100

Calls

Call 1

Inputs
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(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))
(.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))
(.f64 (sqrt.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))) (sqrt.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(.f64 (.f64 (cbrt.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))) (cbrt.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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)))))))))))) (cbrt.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(pow.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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)))))))))) 1)
(log.f64 (exp.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(cbrt.f64 (.f64 (.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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)))))))))) (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))) (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(expm1.f64 (log1p.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(exp.f64 (log.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(log1p.f64 (expm1.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.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 (pow.f64 (PI.f64) 3))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (sqrt.f64 2) (.f64 (.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
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(cbrt.f64 (.f64 (.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (.f64 (.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))) (.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 9151757080597036297/30000000000000000 (+.f64 (*.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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)))))))))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3))
(expm1.f64 (log1p.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(.f64 (PI.f64) (.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(exp.f64 (log.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(.f64 (PI.f64) (.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(log1p.f64 (expm1.f64 (/.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 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.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))))))))))))
(.f64 (PI.f64) (.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))

localize233.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	1.0b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 479 to 366 computations (23.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite105.0ms (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	329
1	1499	329

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

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

Outputs

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simplify174.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-*r/`
1192×	`associate-*l/`
756×	`associate-/r*`
718×	`associate-/l*`
516×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	7459
1	1011	6551
2	4559	6525

Stop Event

1×	node limit

Counts

67 → 129

Calls

Call 1

Inputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
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(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
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(/.f64 -47576671969241/80000000000 z)
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7902188421553103227/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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Outputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)
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eval968.0ms (1.2%)

Compiler: Compiled 44067 to 34176 computations (22.4% saved)

prune305.0ms (0.4%)

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	706	32	738
Fresh	9	8	17
Picked	0	1	1
Done	5	2	7
Total	720	43	763

Error

Counts

763 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
	2.2b	(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
	1.5b	(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
	1.6b	(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
	0.7b	(/.f64 (.f64 (.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.6b	(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
	1.3b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
	51.9b	(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
	1.9b	(.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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))))))))
	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 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))))))))
	0.8b	(.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.8b	(.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))))))))
✓	0.8b	(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.4b	(.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 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (/.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)))))))
▶	1.3b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
✓	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.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 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	39.0b	(.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))) 7902188421553103227/30000000000000000))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))
	1.6b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.7b	(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
▶	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
	1.7b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (PI.f64))))
	3.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
	8.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
▶	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
	2.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
	8.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
	2.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	37.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
	51.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
	51.0b	(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
	51.0b	(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
▶	51.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.9b	(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
	51.9b	(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))

Compiler

Compiled 2510 to 2148 computations (14.4% saved)

localize257.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 582 to 463 computations (20.4% saved)

series2.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite99.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`add-sqr-sqrt`
1178×	`add-cbrt-cube`
1178×	`add-cube-cbrt`
1176×	`add-exp-log`
1176×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	238
1	1213	238

Stop Event

1×	node limit

Counts

4 → 45

Calls

Call 1

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

Outputs
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simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1594×	`associate-+r+`
908×	`+-commutative`
654×	`associate--r+`
370×	`associate-*r/`
318×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	4729
1	687	4585
2	3021	4455

Stop Event

1×	node limit

Counts

81 → 135

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
778827834744865243/3000000000000000
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(/.f64 -156766154411268001/200000000000000 z)
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646366562873259793/3000000000000000
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(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
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(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
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(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
(+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))
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(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 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 7713234287776531/10000000000000 (-.f64 5 z)) (.f64 (-.f64 3 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 3 z) (-.f64 5 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 5 z) (.f64 (-.f64 3 z) 2501468655737381/200000000000000)) (.f64 (-.f64 3 z) (-.f64 5 z)))
(/.f64 (/.f64 (fma.f64 (-.f64 3 z) 2501468655737381/200000000000000 (*.f64 7713234287776531/10000000000000 (-.f64 5 z))) (-.f64 5 z)) (-.f64 3 z))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (-.f64 (.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (-.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (-.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z)))))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
✓	0.3b	(/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z))
✓	1.0b	(*.f64 (exp.f64 -15) 15)
✓	32.2b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

Compiler

Compiled 58 to 41 computations (29.3% saved)

series6.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
1.0ms	z	@	0	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
1.0ms	z	@	0	(/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z))
1.0ms	z	@	inf	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
1.0ms	z	@	0	(.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1764×	`associate-/l*`
1084×	`swap-sqr`
324×	`add-sqr-sqrt`
310×	`pow1`
310×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	332	98
2	4220	98

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15) 15)
(/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z))
(.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))) 1/4) (pow.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-*r/`
1142×	`associate-/r*`
1120×	`associate-*l/`
894×	`distribute-lft-in`
892×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	298	4756
1	747	4694
2	2988	4694

Stop Event

1×	node limit

Counts

156 → 166

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
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(log.f64 (pow.f64 (exp.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2))) 3))
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(cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))))
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Outputs
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(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)) 3)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64))))
(.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)) 3) (pow.f64 (PI.f64) 3)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64))))
(.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64))))
(.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64))))
(.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64))))
(.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(.f64 (exp.f64 -15) (.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))

localize34.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 z (sqrt.f64 (PI.f64)))
✓	0.5b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64))))
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 60 to 47 computations (21.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 z (sqrt.f64 (PI.f64)))
0.0ms	z	@	-inf	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(/.f64 z (sqrt.f64 (PI.f64)))
0.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))

rewrite103.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`associate-/r/`
764×	`associate-/l/`
382×	`add-sqr-sqrt`
364×	`*-un-lft-identity`
362×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	85
1	393	85
2	4931	85

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs

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

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

(/.f64 z (sqrt.f64 (PI.f64)))

Outputs

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1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15) (neg.f64 (exp.f64 -15/2)))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 15) (neg.f64 (exp.f64 -15/2))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) 1) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 15)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 (sqrt.f64 (PI.f64)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) (sqrt.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) (cbrt.f64 (/.f64 (*.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))) (cbrt.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 -15) 15)) (*.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cbrt.f64 z) (pow.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) -1/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 z (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 z (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (PI.f64))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) 1) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 z) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 z)) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64))))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 z z)) (sqrt.f64 (PI.f64))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (PI.f64)) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (neg.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 z z) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))))

simplify120.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1306×	`distribute-lft-in`
1302×	`distribute-rgt-in`
804×	`associate-/l*`
720×	`associate-r`
680×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7901
1	1250	7773
2	5819	7773

Stop Event

1×	node limit

Counts

213 → 249

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.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 (.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.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 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 z (sqrt.f64 (/.f64 1 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) z)))) 1)
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 1 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15)))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (neg.f64 (exp.f64 -15/2)))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))
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(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
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(log1p.f64 (expm1.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) z))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))) 1)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 15)))
(.f64 (sqrt.f64 15) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)))
(.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 1)
(.f64 1 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) (sqrt.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) (.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) (cbrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (.f64 z z) (PI.f64)))) (cbrt.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (cbrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15)))
(.f64 (.f64 (sqrt.f64 15) (neg.f64 (exp.f64 -15/2))) (*.f64 -1 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) 1) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(.f64 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 z) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 z) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (pow.f64 (PI.f64) -1/2)))
(.f64 (.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 (PI.f64)) z))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (PI.f64)))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64))))))
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(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) 1) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64)))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (PI.f64))))
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(pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 3) 1/3)
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(neg.f64 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (neg.f64 z)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (.f64 z z) (PI.f64))))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 3))
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(exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))))
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(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (pow.f64 (PI.f64) -1/2)))
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(.f64 (/.f64 (cbrt.f64 (.f64 z z)) (sqrt.f64 (PI.f64))) (cbrt.f64 z))
(pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) z) -1)
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(log.f64 (exp.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3/2)))
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(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 1))
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (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 (pow.f64 (PI.f64) 1/4) (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))
(/.f64 (.f64 (sqrt.f64 15) (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 1/4))) (*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 z)))
(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64))))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 (neg.f64 z))) (/.f64 (sqrt.f64 15) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) (cbrt.f64 (*.f64 (/.f64 z (PI.f64)) z)))) (cbrt.f64 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64)))) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z)))) (cbrt.f64 z)))
(/.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15) (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)))) (/.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64)))) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z))))) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (cbrt.f64 (neg.f64 (sqrt.f64 (PI.f64))))) (.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)) (cbrt.f64 (neg.f64 z))))
(pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 1)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(pow.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) 2)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))) 3)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 3) 1/3)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))) -1)
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(neg.f64 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15)) (neg.f64 z)) (sqrt.f64 (PI.f64))))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (*.f64 z z)) (PI.f64)))
(sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (.f64 15 (PI.f64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15)) (/.f64 (sqrt.f64 (PI.f64)) z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))))))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z))) 3))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15)) 3) (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(exp.f64 (-.f64 -15/2 (log.f64 (/.f64 z (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(exp.f64 (.f64 (-.f64 -15/2 (log.f64 (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))) 1))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15) (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 (PI.f64))))) 1)
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 z (pow.f64 (PI.f64) -1/2))
(*.f64 (/.f64 z (sqrt.f64 (PI.f64))) 1)
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 1 (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (pow.f64 (PI.f64) -1/2)))
(*.f64 z (pow.f64 (PI.f64) -1/2))
(.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (cbrt.f64 (/.f64 (.f64 z z) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 (.f64 z z) (PI.f64))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 z z)) (*.f64 (cbrt.f64 z) (pow.f64 (PI.f64) -1/2)))
(.f64 (cbrt.f64 (.f64 z z)) (*.f64 (pow.f64 (PI.f64) -1/2) (cbrt.f64 z)))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (pow.f64 (PI.f64) -1/2) z)
(*.f64 z (pow.f64 (PI.f64) -1/2))
(*.f64 (neg.f64 z) (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) (/.f64 z (pow.f64 (PI.f64) 1/4)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (PI.f64) 1/4)) z) (pow.f64 (PI.f64) 1/4))
(/.f64 (/.f64 z (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) (/.f64 z (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) z) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 z (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 -1 (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 z))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (sqrt.f64 (PI.f64))))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (PI.f64))) (sqrt.f64 z))
(/.f64 z (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (PI.f64))) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (PI.f64))) z) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 z (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 z z)) 1) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (.f64 z z)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 z z)) (pow.f64 (PI.f64) 1/4)) (/.f64 (cbrt.f64 z) (pow.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (PI.f64))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) (/.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (/.f64 1 z)) (pow.f64 (PI.f64) -1/2))
(*.f64 z (pow.f64 (PI.f64) -1/2))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (PI.f64))))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 z (/.f64 (PI.f64) z))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (/.f64 z (PI.f64)) z)) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 z (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 z z)))) (cbrt.f64 z))
(.f64 (cbrt.f64 (.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (.f64 z z)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 z z)) (sqrt.f64 (PI.f64))) (cbrt.f64 z))
(.f64 (cbrt.f64 (.f64 z z)) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (.f64 z z)) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 1)
(/.f64 z (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 2)
(/.f64 z (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 3)
(/.f64 z (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3) 1/3)
(/.f64 z (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) z) -1)
(/.f64 z (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(sqrt.f64 (/.f64 (*.f64 z z) (PI.f64)))
(sqrt.f64 (/.f64 z (/.f64 (PI.f64) z)))
(sqrt.f64 (*.f64 (/.f64 z (PI.f64)) z))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (sqrt.f64 (PI.f64))))))
(/.f64 z (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (PI.f64))) 3))
(/.f64 z (sqrt.f64 (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (sqrt.f64 (PI.f64)))) 1))
(/.f64 z (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 (PI.f64)))))
(/.f64 z (sqrt.f64 (PI.f64)))

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (sqrt.f64 2) z)
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓	1.0b	(cbrt.f64 (pow.f64 (PI.f64) 3/2))

Compiler

Compiled 72 to 63 computations (12.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))

0.0ms

inf

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))

0.0ms

-inf

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`associate-*r/`
1386×	`associate-*l/`
418×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	68
1	429	54
2	5037	54

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (PI.f64) 3/2))

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/3) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 z (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 z (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 2 1/4) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 2) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 2) 1) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (/.f64 z (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 z)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 (*.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 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simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-/r/`
946×	`distribute-rgt-in`
940×	`distribute-lft-in`
668×	`distribute-lft-neg-in`
666×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	221	3679
1	548	3601
2	3029	3601

Stop Event

1×	node limit

Counts

91 → 96

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.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 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.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 1/3) (sqrt.f64 (PI.f64)))
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(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) 2)
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(pow.f64 (PI.f64) 1/2)
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(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) z)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) (neg.f64 z))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 1) (/.f64 z (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2)))) (neg.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (neg.f64 z))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1)) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 z))) (sqrt.f64 z))
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(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (neg.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (neg.f64 z))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 z (sqrt.f64 2)) 1))
(/.f64 (.f64 (pow.f64 2 1/4) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (pow.f64 2 1/4)))
(/.f64 (.f64 (cbrt.f64 2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
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(/.f64 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (/.f64 z (sqrt.f64 2))))
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(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 1 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (neg.f64 (sqrt.f64 2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
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(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 z)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 (cbrt.f64 z) 2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z))
(/.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) z)
(pow.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3) 1/3)
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (.f64 z z))))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))

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

localize117.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) z)
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.4b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 170 to 127 computations (25.3% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
2.0ms	z	@	inf	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
2.0ms	z	@	0	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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)))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
622×	`*-un-lft-identity`
620×	`pow1`
608×	`add-exp-log`
608×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	149
1	647	127

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

(*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))

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

(*.f64 (PI.f64) z)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (PI.f64) z) (pow.f64 (*.f64 (PI.f64) z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (*.f64 (PI.f64) (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 z) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))))))

simplify188.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1564×	`distribute-lft-in`
1502×	`associate-/r*`
684×	`associate-+r+`
662×	`associate-r`
628×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	6844
1	951	6160
2	3670	6136

Stop Event

1×	node limit

Counts

100 → 135

Calls

Call 1

Inputs
(.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 1106209385320415913103082059/4200000000000000000000000 (.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 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)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.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))))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.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 (sqrt.f64 2) (+.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)))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.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))))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.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 (.f64 (sqrt.f64 2) (+.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)))))) (sqrt.f64 (PI.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 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (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 (.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))) (sqrt.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))))))))))) (PI.f64)) (.f64 -1/6 (.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))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.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)))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.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)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.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)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.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)))))) (sin.f64 (*.f64 z (PI.f64)))) (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 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(+.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 z 102757979785251069442117317613/235200000000000000000000000)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.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 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (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 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 1)
(sqrt.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 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 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))) (pow.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) 2)))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(.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 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(cbrt.f64 (/.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))))
(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)))))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (*.f64 (PI.f64) z) 1)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) z))
(cbrt.f64 (.f64 (.f64 (PI.f64) z) (pow.f64 (*.f64 (PI.f64) z) 2)))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (pow.f64 z 3)))
(cbrt.f64 (.f64 (pow.f64 z 3) (.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 z) (log.f64 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) z)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))

Outputs
(.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(+.f64 (.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 (sqrt.f64 2) (+.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)))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))))
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(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (cbrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))))
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (.f64 z (PI.f64))) 2)) (cbrt.f64 (/.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))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))
(fabs.f64 (/.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (/.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 2))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(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))))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(/.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))))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (PI.f64)) 2))
(fabs.f64 (*.f64 z (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) z))
(*.f64 z (PI.f64))
(cbrt.f64 (.f64 (.f64 (PI.f64) z) (pow.f64 (*.f64 (PI.f64) z) 2)))
(cbrt.f64 (.f64 (.f64 z (PI.f64)) (pow.f64 (*.f64 z (PI.f64)) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (PI.f64)) 3))
(cbrt.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (pow.f64 z 3)))
(cbrt.f64 (.f64 (.f64 z (PI.f64)) (pow.f64 (*.f64 z (PI.f64)) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (PI.f64)) 3))
(cbrt.f64 (.f64 (pow.f64 z 3) (.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 z (PI.f64)) (pow.f64 (*.f64 z (PI.f64)) 2)))
(cbrt.f64 (pow.f64 (*.f64 z (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 z)))
(*.f64 z (PI.f64))
(exp.f64 (+.f64 (log.f64 z) (log.f64 (PI.f64))))
(*.f64 z (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) z)) 1))
(*.f64 z (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))

eval646.0ms (0.8%)

Compiler: Compiled 28691 to 21751 computations (24.2% saved)

prune346.0ms (0.4%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	857	31	888
Fresh	25	10	35
Picked	0	1	1
Done	5	2	7
Total	887	44	931

Error

Counts

931 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	51.1b	(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
	1.5b	(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
	0.7b	(/.f64 (.f64 (.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.5b	(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
	2.0b	(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
	1.3b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
	1.9b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
	1.6b	(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
	1.9b	(.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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))))))))
	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 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))))))))
	0.8b	(.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.8b	(.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))))))))
✓	1.3b	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
✓	1.0b	(.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.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 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))))
	0.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 778827834744865243/3000000000000000 (.f64 z (+.f64 3879130361789901929/45000000000000000 (.f64 z 19350625373146236787/675000000000000000)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))
	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))
	1.3b	(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	1.3b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
	51.1b	(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
	1.8b	(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
	51.0b	(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
	1.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
	1.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
	51.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
	51.0b	(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
	51.0b	(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
	51.0b	(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
	51.0b	(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
	51.0b	(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
	51.1b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.0b	(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.9b	(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	51.0b	(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
	51.9b	(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))

Compiler

Compiled 1294 to 1073 computations (17.1% saved)

regimes316.0ms (0.4%)

Counts

105 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (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))) 7902188421553103227/30000000000000000))
(.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (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 -15/2) (sqrt.f64 15/2))) (+.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 (.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 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 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 (.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 -6251307572601308353/150000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (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 39321001939258358983/90000000000000000)) (+.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 -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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))
(.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 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.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 (.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 12777243138120953/60000000000000 (.f64 z (+.f64 53758197989915921/720000000000000 (.f64 z 222980468271960011/8640000000000000))))) (+.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 (-.f64 1 z) (.f64 (-.f64 2 z) -6765203681218851/12591392167224028)) (.f64 (-.f64 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (/.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 (.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 (.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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.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 (cbrt.f64 (.f64 (+.f64 -1 (-.f64 1 z)) (.f64 (+.f64 -1 (-.f64 1 z)) (+.f64 -1 (-.f64 1 z))))) 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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))

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 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))))))

Calls

2 calls:

62.0ms

52.0ms

(*.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
0.5b	1	`z`
0.5b	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 4124 to 3184 computations (22.8% saved)

regimes170.0ms (0.2%)

Counts

99 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(.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 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (-.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 4560878540298521/15000000000000 9999999999998099/10000000000000000)) (+.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)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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)) (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 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.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)) (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 469507597606837/10000000000000 (/.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)) (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 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)) (+.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)) (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 (.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 12777243138120953/60000000000000 (.f64 z (+.f64 53758197989915921/720000000000000 (.f64 z 222980468271960011/8640000000000000))))) (+.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 (-.f64 1 z) (.f64 (-.f64 2 z) -6765203681218851/12591392167224028)) (.f64 (-.f64 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007))) (/.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)))))))

Outputs

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

Calls

1 calls:

48.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 3484 to 2649 computations (24% saved)

regimes148.0ms (0.2%)

Counts

83 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(/.f64 (.f64 (.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 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 (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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
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(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))

Outputs

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

Calls

1 calls:

93.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 2193 to 1643 computations (25.1% saved)

regimes98.0ms (0.1%)

Counts

82 → 1

Calls

Call 1

Inputs
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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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 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))))))))
(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 778827834744865243/3000000000000000 (.f64 z (+.f64 3879130361789901929/45000000000000000 (.f64 z 19350625373146236787/675000000000000000)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 778827834744865243/3000000000000000 (*.f64 z (+.f64 3879130361789901929/45000000000000000 (*.f64 z 19350625373146236787/675000000000000000)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.6b	1	`z`

Compiler

Compiled 2119 to 1587 computations (25.1% saved)

regimes116.0ms (0.1%)

Counts

80 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (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))) 7902188421553103227/30000000000000000))
(.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (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 -15/2) (sqrt.f64 15/2))) (+.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 (.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 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 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 (.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 -6251307572601308353/150000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (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 39321001939258358983/90000000000000000)) (+.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 -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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))
(.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 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.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))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))
(.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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 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))))))))
(.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 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs

(/.f64 (*.f64 (*.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (*.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1973 to 1477 computations (25.1% saved)

regimes93.0ms (0.1%)

Counts

72 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (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))) 7902188421553103227/30000000000000000))
(.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (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 -15/2) (sqrt.f64 15/2))) (+.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 (.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 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 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 (.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 -6251307572601308353/150000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (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 39321001939258358983/90000000000000000)) (+.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 -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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))
(.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 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.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))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.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))))))))) (sin.f64 (*.f64 z (PI.f64))))

Outputs

(*.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
0.8b	1	`z`

Compiler

Compiled 1470 to 1103 computations (25% saved)

regimes88.0ms (0.1%)

Counts

68 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (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))) 7902188421553103227/30000000000000000))
(.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (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 -15/2) (sqrt.f64 15/2))) (+.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 (.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 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 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 (.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 -6251307572601308353/150000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (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 (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 39321001939258358983/90000000000000000)) (+.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 z 39321001939258358983/90000000000000000)) (+.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
0.9b	1	`z`

Compiler

Compiled 1244 to 937 computations (24.7% saved)

regimes121.0ms (0.1%)

Counts

67 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)) (sqrt.f64 (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))) 7902188421553103227/30000000000000000))
(.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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (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 -15/2) (sqrt.f64 15/2))) (+.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 (.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 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 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 (.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 -6251307572601308353/150000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))

Outputs

(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))

Calls

1 calls:

90.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 1194 to 903 computations (24.4% saved)

regimes66.0ms (0.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (pow.f64 z -2)))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))))
(pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z))))))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))))))) 1)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(/.f64 (pow.f64 2 1/4) (/.f64 (/.f64 z (pow.f64 2 1/4)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

Outputs

(*.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))))

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 751 to 572 computations (23.8% saved)

regimes101.0ms (0.1%)

Counts

31 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15))) z) (pow.f64 (PI.f64) -1/2))
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (-.f64 -15 (log.f64 (.f64 (.f64 z z) 1/15)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 (+.f64 -15 (log.f64 15))) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.5b	1	`z`

Compiler

Compiled 393 to 283 computations (28% saved)

regimes24.0ms (0%)

Counts

27 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))) (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15))))
(/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 15) (sqrt.f64 (PI.f64)))))

Outputs
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.6b	1	`z`

Compiler

Compiled 339 to 241 computations (28.9% saved)

regimes19.0ms (0%)

Counts

21 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))

Outputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 269 to 188 computations (30.1% saved)

regimes23.0ms (0%)

Counts

20 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 15 (.f64 z z)) (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 15 z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z z)) 15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (exp.f64 -15) 15) (.f64 z z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (*.f64 15 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 15)) (.f64 z z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 15) (/.f64 (*.f64 z z) (PI.f64)))))
(.f64 (sqrt.f64 (.f64 15 (/.f64 (*.f64 (exp.f64 -15) (/.f64 (PI.f64) z)) z))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 15) (.f64 z z)) (exp.f64 -15))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 15/2 (exp.f64 -15)) (/.f64 2 (*.f64 z z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) (.f64 15/2 (.f64 (exp.f64 -15) (/.f64 2 (*.f64 z z)))))))

Outputs
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
51.0b	1	`z`

Compiler

Compiled 259 to 180 computations (30.5% saved)

regimes7.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))

Outputs
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
51.0b	1	`z`

Compiler

Compiled 47 to 32 computations (31.9% saved)

regimes7.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64)))))

(sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))

(sqrt.f64 (*.f64 (/.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))

Outputs
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
51.0b	1	`z`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes5.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0.0b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64)))))

(sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))

Outputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
51.0b	1	`z`

Compiler

Compiled 25 to 18 computations (28% saved)

simplify623.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1148×	`distribute-lft-neg-in`
1146×	`*-commutative`
1064×	`+-commutative`
724×	`distribute-neg-in`
518×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	237	1968
1	395	1952
2	435	1952
3	489	1952
4	567	1952
5	675	1952
6	780	1952
7	850	1952
8	926	1952
9	1038	1952
10	1246	1952
11	1522	1952
12	1848	1952
13	2230	1952
14	2612	1952
15	3018	1952
16	3437	1952
17	3561	1952
18	3627	1952
19	3897	1952
20	4286	1952
21	4305	1952
22	4309	1952
23	4309	1952
24	4309	1952

Stop Event

1×	fuel
1×	saturated

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 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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 778827834744865243/3000000000000000 (.f64 z (+.f64 3879130361789901929/45000000000000000 (.f64 z 19350625373146236787/675000000000000000)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))))
(/.f64 (.f64 (.f64 (PI.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 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.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))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.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 -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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

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 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))))))
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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 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.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)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (-.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)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 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 (+.f64 (+.f64 z -1) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 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 1106209385320415913103082059/4200000000000000000000000 (.f64 102757979785251069442117317613/235200000000000000000000000 z)))))
(.f64 (/.f64 1 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 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 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 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 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 (+.f64 (+.f64 z -1) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15)) (*.f64 z (pow.f64 (PI.f64) -1/2)))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (PI.f64) (exp.f64 -15))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (/.f64 (.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (PI.f64)) (*.f64 z z)))
(sqrt.f64 (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 z z)))
(sqrt.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (.f64 z z) (PI.f64))))
(sqrt.f64 (.f64 (/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z) (/.f64 (PI.f64) z)))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

Compiler

Compiled 643 to 532 computations (17.3% saved)

soundness119.0ms (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

Compiler

Compiled 124 to 110 computations (11.3% saved)

end318.0ms (0.4%)

Compiler: Compiled 628 to 482 computations (23.2% saved)