Details

analyze789.0ms (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)

sample59.9s (73.7%)

Results

55.0s	3808×	body	8192	exit
4.8s	8256×	body	256	valid
51.0ms	100×	body	256	infinite
44.0ms	75×	body	256	unsamplable

Bogosity

preprocess57.0ms (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)

simplify64.0ms (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

Accurracy

99.4%

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 948 to 806 computations (15% saved)

localize402.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
✓	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	86.7%	(+.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	@	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 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 1 z) -1)

rewrite80.0ms (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
((-.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))))))

simplify79.0ms (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)))
(+.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)))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (.f64 z z) (.f64 z 53758197989915921/720000000000000)))
(+.f64 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) (.f64 z (.f64 z 222980468271960011/8640000000000000)))
(+.f64 12777243138120953/60000000000000 (.f64 z (+.f64 53758197989915921/720000000000000 (.f64 z 222980468271960011/8640000000000000))))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (.f64 z z) (.f64 z 53758197989915921/720000000000000))))
(+.f64 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (.f64 z (.f64 z 222980468271960011/8640000000000000))) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))
(+.f64 (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000) (.f64 (.f64 z z) (+.f64 222980468271960011/8640000000000000 (*.f64 z 36630596080989161/4147200000000000))))
(/.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 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 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))))))
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(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)))

localize203.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
✓	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
✓	98.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	98.4%	(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	@	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 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	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

rewrite82.0ms (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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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)))))

Inputs

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

Outputs
((.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (.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))))))) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (/.f64 (-.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (/.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))))))) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1) (log.f64 (exp.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 (/.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))))))) (expm1.f64 (log1p.f64 (+.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)))))) (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 1 (+.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)))) 1) (.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
((.f64 1 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 1) (.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 1) (log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (cbrt.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))

Outputs

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

((*.f64 1 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 1) (*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) 1) (log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (cbrt.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))) (expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) (log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))

simplify113.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1552×	`fma-def`
954×	`associate-+r-`
942×	`associate-+l-`
708×	`*-commutative`
606×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	3711
1	549	3595
2	2398	3391
3	6705	3391

Stop Event

1×	node limit

Counts

75 → 126

Calls

Call 1

Inputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
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(cbrt.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))))

Outputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -9487795309719323173/900000000000000000 z (.f64 -1795630016662247729/675000000000000000 (.f64 z z))) -6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000))
(-.f64 (+.f64 (.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (.f64 -1795630016662247729/675000000000000000 (.f64 z z)))) -6251307572601308353/150000000000000000)
(fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000)))
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 2053078212233992689/12500000000000000 z))
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
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(+.f64 (/.f64 2053078212233992689/12500000000000000 z) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3))))
(+.f64 (.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))))
(+.f64 (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 2053078212233992689/12500000000000000 z) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3))) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 2053078212233992689/12500000000000000 z) (+.f64 (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))))
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
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(+.f64 (/.f64 2053078212233992689/12500000000000000 z) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3))))
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(+.f64 (/.f64 2053078212233992689/12500000000000000 z) (+.f64 (/.f64 244246882827963270523/25000000000000000 (pow.f64 z 4)) (+.f64 (/.f64 16118870670668054893/25000000000000000 (*.f64 z z)) (/.f64 62953636101416072483/25000000000000000 (pow.f64 z 3)))))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000)
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(+.f64 4560878540298521/15000000000000 (fma.f64 z 40269435042492127/90000000000000 (.f64 z (.f64 z 295755570232608827/540000000000000))))
(fma.f64 z (*.f64 z 295755570232608827/540000000000000) (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))))
(+.f64 4560878540298521/15000000000000 (fma.f64 z 40269435042492127/90000000000000 (fma.f64 (.f64 z z) 295755570232608827/540000000000000 (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (.f64 (.f64 z z) (+.f64 295755570232608827/540000000000000 (*.f64 z 1967803238479727281/3240000000000000))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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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 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(neg.f64 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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(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))))))
(neg.f64 (+.f64 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -943522900885677/5000000000000 z)) (+.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (/.f64 -28572848028348241/2500000000000 (pow.f64 z 4))))
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000)
(fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)
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(+.f64 (fma.f64 40269435042492127/90000000000000 z (.f64 (.f64 z z) 295755570232608827/540000000000000)) 9151757080597036297/30000000000000000)
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(fma.f64 z 40269435042492127/90000000000000 (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 9151757080597036297/30000000000000000))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))) 9151757080597036297/30000000000000000)
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
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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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(-.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (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))
(-.f64 9999999999998099/10000000000000000 (+.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 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))))
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(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
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(*.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))))))
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localize177.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 477 to 364 computations (23.7% saved)

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))))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

rewrite96.0ms (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 (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 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))))))

Outputs

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

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

simplify118.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-*r/`
1186×	`associate-*l/`
738×	`associate--r+`
538×	`distribute-lft-in`
510×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	7660
1	997	6724
2	4771	6698

Stop Event

1×	node limit

Counts

66 → 127

Calls

Call 1

Inputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -121443148578839881/200000000000000 z)
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(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)
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Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
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(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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(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(cbrt.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))

localize233.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiler

Compiled 668 to 560 computations (16.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite100.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`add-sqr-sqrt`
1134×	`add-exp-log`
1134×	`add-cbrt-cube`
1134×	`add-log-exp`
1134×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	267
1	1145	267

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

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

(+.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 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))

Outputs

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

simplify123.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1678×	`associate--l+`
968×	`+-commutative`
858×	`*-commutative`
770×	`associate-+l-`
752×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	5387
1	681	4747
2	2840	3873
3	6261	3873

Stop Event

1×	node limit

Counts

71 → 133

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))))))
1106209385320415913103082059/4200000000000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(-.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)))))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
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(/.f64 32821537176690739/200000000000000 z)
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(/.f64 32821537176690739/200000000000000 z)
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Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))

localize308.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(.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))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	86.7%	(-.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 (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))))
1.0ms	z	@	inf	(.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))))
1.0ms	z	@	-inf	(.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))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
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)))

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`add-sqr-sqrt`
714×	`*-un-lft-identity`
712×	`pow1`
708×	`add-exp-log`
708×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	149
1	742	133

Stop Event

1×	node limit

Counts

3 → 41

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 (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))))

Outputs

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

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

((/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 1) (log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) (*.f64 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))) (expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) (exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) (log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))))

simplify109.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate--r-`
988×	`*-commutative`
816×	`associate-+r+`
808×	`associate-+l+`
560×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3419
1	639	3009
2	2545	2751
3	7713	2751

Stop Event

1×	node limit

Counts

77 → 108

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(+.f64 1 (+.f64 (neg.f64 z) -1))
(+.f64 1 (-.f64 (neg.f64 z) 1))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (+.f64 (-.f64 1 z) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 1))
(.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))
(.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 1))
(/.f64 (-.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (+.f64 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))
(/.f64 (.f64 (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) 1) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) 1) (+.f64 (+.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) 1) (-.f64 1 z)))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(cbrt.f64 (.f64 (+.f64 (-.f64 1 z) -1) (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(.f64 (cbrt.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(cbrt.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) (.f64 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))

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 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 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)))
(+.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 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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eval2.6s (3.2%)

Compiler: Compiled 114272 to 93502 computations (18.2% saved)

prune590.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1035	19	1054
Fresh	0	0	0
Picked	1	0	1
Done	4	0	4
Total	1040	19	1059

Accurracy

99.5%

Counts

1059 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 1 (-.f64 (neg.f64 z) 1)) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 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))) (expm1.f64 (log1p.f64 (+.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))))))
▶	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 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))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	99.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.5%	(.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 z 40269435042492127/90000000000000) 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))))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	96.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 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))))))))
▶	99.1%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
	97.5%	(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
▶	96.1%	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
	97.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.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)))))))
	98.4%	(.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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Compiler

Compiled 2814 to 2328 computations (17.3% saved)

localize334.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))
✓	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
✓	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 686 to 576 computations (16% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite187.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`+-commutative`
570×	`associate-+l+`
466×	`add-sqr-sqrt`
462×	`associate-+r+`
442×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	111
1	450	99
2	6802	99

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

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

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

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

Outputs

((-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1) (*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) (*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) 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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))))) (/.f64 1 (/.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)))) (/.f64 1 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 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((-.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))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))) (*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.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 4 (pow.f64 (-.f64 1 z) 2))) (+.f64 1 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 4 (*.f64 (-.f64 1 z) (-.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 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -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)))))

simplify141.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/r*`
1270×	`+-commutative`
874×	`associate--r+`
580×	`associate--l+`
514×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	455	8537
1	1154	8131
2	4450	8125

Stop Event

1×	node limit

Counts

161 → 264

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
9151757080597036297/30000000000000000
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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)))))
9999999999998099/10000000000000000
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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 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
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(*.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))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))
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(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
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Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 -69565428553209127/540000000000000 (.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(+.f64 (+.f64 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.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 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1))
(+.f64 (+.f64 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (+.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 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(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 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(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 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(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 (+.f64 19999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(-.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))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(*.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.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 4 (pow.f64 (-.f64 1 z) 2))) (+.f64 1 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 4 (pow.f64 (-.f64 1 z) 2))) (+.f64 z 1))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 4 (.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) 2))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 4 (.f64 (-.f64 1 z) (+.f64 (-.f64 1 z) -2))))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (fma.f64 (-.f64 1 z) (+.f64 (-.f64 1 z) -2) 4))
(/.f64 (*.f64 7713234287776531/10000000000000 (fma.f64 (-.f64 1 z) (-.f64 -1 z) 4)) (+.f64 8 (pow.f64 (-.f64 1 z) 3)))
(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 (/.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))

localize139.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (PI.f64) z)
✓	99.5%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	99.4%	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 149 to 111 computations (25.5% saved)

series8.0ms (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))) 1106209385320415913103082059/4200000000000000000000000)))
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))) 1106209385320415913103082059/4200000000000000000000000)))
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))) 1106209385320415913103082059/4200000000000000000000000)))
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)))

rewrite113.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`add-sqr-sqrt`
552×	`associate-+r+`
546×	`*-un-lft-identity`
544×	`pow1`
532×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	137
1	570	115
2	7504	115

Stop Event

1×	node limit

Counts

3 → 73

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))) 1106209385320415913103082059/4200000000000000000000000)))

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

(*.f64 (PI.f64) z)

Outputs

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

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

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

simplify190.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1618×	`associate-/r*`
1400×	`distribute-lft-in`
568×	`associate-+l+`
552×	`associate-r`
550×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	5319
1	864	5133
2	3616	5121

Stop Event

1×	node limit

Counts

109 → 120

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 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 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 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 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 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 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 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 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 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 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
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(/.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 (exp.f64 (log1p.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000)))))) 1)
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(/.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)) 1106209385320415913103082059/4200000000000000000000000))) (/.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)) 1106209385320415913103082059/4200000000000000000000000)))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (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)) 1106209385320415913103082059/4200000000000000000000000)))) 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)) 1106209385320415913103082059/4200000000000000000000000)))) (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)) 1106209385320415913103082059/4200000000000000000000000)))) (pow.f64 (cbrt.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)) 1106209385320415913103082059/4200000000000000000000000))))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(pow.f64 (sqrt.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))) 2)
(pow.f64 (cbrt.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))) 3)
(pow.f64 (pow.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (-.f64 15/2 z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000)))))))
(cbrt.f64 (pow.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 3)))
(cbrt.f64 (.f64 (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)) 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(expm1.f64 (log1p.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(exp.f64 (log.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(exp.f64 (.f64 (log.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))) 1))
(log1p.f64 (expm1.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(.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)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.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)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.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)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -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)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (*.f64 (PI.f64) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(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 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 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.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 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))))))
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(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
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(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
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(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
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(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
(expm1.f64 (log1p.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
(exp.f64 (log.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
(exp.f64 (.f64 (log.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))) 1))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
(log1p.f64 (expm1.f64 (.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)) 1106209385320415913103082059/4200000000000000000000000))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (PI.f64) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.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 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (pow.f64 (cbrt.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))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
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(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
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(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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(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 (/.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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 z (PI.f64))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(*.f64 z (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(*.f64 z (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(*.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 z) (PI.f64)))
(*.f64 z (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(*.f64 z (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(*.f64 z (PI.f64))
(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 (.f64 (PI.f64) z)) 1))
(*.f64 z (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))

localize208.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 361 to 282 computations (21.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite124.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1630×	`*-un-lft-identity`
1546×	`add-cube-cbrt`
1536×	`add-cbrt-cube`
154×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	159	13
2	1988	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) (*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.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 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (*.f64 z (+.f64 3 z)))) (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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3) (pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1) (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)))))

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1624×	`associate-*r/`
1388×	`associate-*l/`
1260×	`associate-r`
1044×	`associate-l`
1008×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	750
1	263	718
2	935	710
3	4383	710

Stop Event

1×	node limit

Counts

36 → 59

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.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 3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 3 z))))
(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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(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
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 7713234287776531/270000000000000 (.f64 z z)))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 7713234287776531/30000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 7713234287776531/30000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(+.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)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7713234287776531/10000000000000 z) (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(+.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)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -7713234287776531/10000000000000 z) (+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)))))
(-.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 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 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 (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 3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))
(/.f64 (fma.f64 z 7713234287776531/10000000000000 23139702863329593/10000000000000) (-.f64 9 (*.f64 z z)))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 3 z))))
(.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))
(/.f64 7713234287776531/10000000000000 (/.f64 (-.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 (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))
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(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))

localize268.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 390 to 304 computations (22.1% saved)

localize351.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))
	95.7%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
	86.7%	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 544 to 458 computations (15.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))

0.0ms

inf

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.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))))

rewrite96.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`add-sqr-sqrt`
936×	`add-cbrt-cube`
936×	`add-cube-cbrt`
934×	`add-exp-log`
932×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	145
1	982	145

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))

Outputs

((*.f64 1 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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))))) (sqrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (-.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 (pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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))))))) (pow.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 1) (log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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)))))))

simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1388×	`associate-+r-`
1174×	`associate-r`
1138×	`associate-+l-`
1116×	`associate-+l+`
992×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	2575
1	271	2103
2	1330	1737
3	6518	1737

Stop Event

1×	node limit

Counts

23 → 41

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 255590905325635605746351952839/705600000000000000000000000 z) (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 255590905325635605746351952839/705600000000000000000000000 z) (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 11905977645951639154374123614369999/19914854400000000000000000000000 (pow.f64 z 3)))))
6418621569060470797/30000000000000000
(+.f64 6418621569060470797/30000000000000000 (*.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 1 z)) (+.f64 6418621569060470797/30000000000000000 (.f64 11125329402537419134147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
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6418621569060470797/30000000000000000
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(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (-.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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)))))))
(pow.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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))))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z))
(fma.f64 255590905325635605746351952839/705600000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 255590905325635605746351952839/705600000000000000000000000 z (.f64 z (.f64 z 61549629395250298343008044520019/118540800000000000000000000000))))
(fma.f64 255590905325635605746351952839/705600000000000000000000000 z (fma.f64 z (*.f64 z 61549629395250298343008044520019/118540800000000000000000000000) 1106209385320415913103082059/4200000000000000000000000))
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6418621569060470797/30000000000000000
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6418621569060470797/30000000000000000
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(pow.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 1)
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(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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))))))
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(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.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))))))
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eval2.3s (2.9%)

Compiler: Compiled 71386 to 56025 computations (21.5% saved)

prune414.0ms (0.5%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	900	20	920
Fresh	7	7	14
Picked	1	0	1
Done	2	2	4
Total	910	29	939

Accurracy

100.0%

Counts

939 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.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))) 1106209385320415913103082059/4200000000000000000000000)))
	96.8%	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	95.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) z)) 3))) (.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))) 1106209385320415913103082059/4200000000000000000000000)))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 1 (-.f64 (neg.f64 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)))))
	97.5%	(.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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	96.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 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))))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
▶	99.1%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
	97.5%	(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
✓	96.1%	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	32.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3))))) (.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))) 1106209385320415913103082059/4200000000000000000000000)))
▶	96.1%	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
	95.6%	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.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))) 1106209385320415913103082059/4200000000000000000000000)))
	30.4%	(.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)) (.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))) 1106209385320415913103082059/4200000000000000000000000)))
	96.7%	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
	96.7%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
▶	96.9%	(.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))))
	97.0%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 2995 to 2477 computations (17.3% saved)

localize438.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	98.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
✓	98.5%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 646 to 536 computations (17% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite126.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
1	466	86
2	6806	86

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs

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

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

Outputs

((-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1) (-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1) (*.f64 1 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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))))) (/.f64 1 (/.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)))) (/.f64 1 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 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(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2)) (log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3)) (expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1)) (log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000) (fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000) (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000))

simplify160.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-/r*`
1070×	`+-commutative`
954×	`associate-+l+`
804×	`*-commutative`
714×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	7669
1	967	7297
2	3605	7273

Stop Event

1×	node limit

Counts

125 → 199

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
9151757080597036297/30000000000000000
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(+.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
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(-.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))))
(-.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 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)
(-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (/.f64 1 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(/.f64 1 (/.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) 99999999999961980000000003613801/100000000000000000000000000000000) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(/.f64 (neg.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2))) (neg.f64 (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (neg.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3))) (neg.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3))
(expm1.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)

Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 -69565428553209127/540000000000000 (.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
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(/.f64 4878157879447497/10000000000000 z)
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(+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (.f64 (.f64 z z) (+.f64 295755570232608827/540000000000000 (*.f64 z 1967803238479727281/3240000000000000))))
9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
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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))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(log1p.f64 (expm1.f64 (+.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 (+.f64 19999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -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 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 19999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -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 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 19999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -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 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 19999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) -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 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))

localize72.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(+.f64 (-.f64 1 z) -1/2)
✓	99.9%	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
✓	99.4%	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 136 to 112 computations (17.6% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	inf	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	0	(.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))) 1106209385320415913103082059/4200000000000000000000000)))
0.0ms	z	@	0	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
0.0ms	z	@	-inf	(+.f64 (-.f64 1 z) -1/2)

rewrite137.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`add-sqr-sqrt`
508×	`associate-+r+`
498×	`*-un-lft-identity`
496×	`pow1`
488×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	121
1	528	83
2	6859	83

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

(*.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))) 1106209385320415913103082059/4200000000000000000000000)))

(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))

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

Outputs

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

((-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1) (*.f64 1 (exp.f64 (-.f64 15/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1) (*.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z)))) (*.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2)) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z)))) (*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2)) (*.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z))) (*.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) (/.f64 1 (exp.f64 (-.f64 15/2 z))) (/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1)) (/.f64 (E.f64) (exp.f64 (+.f64 z -13/2))) (/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z)))) (pow.f64 (exp.f64 (-.f64 15/2 z)) 1) (pow.f64 (exp.f64 (-.f64 15/2 z)) -1) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3) (pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3) (pow.f64 (E.f64) (-.f64 15/2 z)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z))) (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) (pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)) (log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z)))) (log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) (log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))

((-.f64 1 (+.f64 z 1/2)) (-.f64 (-.f64 3/2 z) 1) (-.f64 1/2 z) (-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 3/2 z)) (/.f64 1/4 (-.f64 3/2 z))) (-.f64 (+.f64 -1/2 (exp.f64 (log.f64 (-.f64 2 z)))) 1) (-.f64 (+.f64 -1/2 (/.f64 1 (+.f64 1 z))) (/.f64 (*.f64 z z) (+.f64 1 z))) (-.f64 (+.f64 -1/2 (/.f64 1 (+.f64 1 (fma.f64 z z z)))) (/.f64 (pow.f64 z 3) (+.f64 1 (fma.f64 z z z)))) (*.f64 1 (-.f64 1/2 z)) (*.f64 (-.f64 1/2 z) 1) (*.f64 (sqrt.f64 (-.f64 1/2 z)) (sqrt.f64 (-.f64 1/2 z))) (*.f64 (cbrt.f64 (-.f64 1/2 z)) (pow.f64 (cbrt.f64 (-.f64 1/2 z)) 2)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 z)) 2) (cbrt.f64 (-.f64 1/2 z))) (*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4) (/.f64 1 (-.f64 3/2 z))) (*.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2))))) (/.f64 1 (/.f64 (-.f64 3/2 z) (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4))) (/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2))) (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4) (-.f64 3/2 z)) (/.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3)) (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2)))) (/.f64 (-.f64 1/4 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1/2 (-.f64 1 z))) (/.f64 (-.f64 1 (*.f64 (+.f64 z 1/2) (+.f64 z 1/2))) (+.f64 (+.f64 1 z) 1/2)) (/.f64 (-.f64 1 (pow.f64 (+.f64 z 1/2) 3)) (+.f64 1 (+.f64 (+.f64 z 1/2) (*.f64 (+.f64 z 1/2) (+.f64 z 1/2))))) (/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4)) (neg.f64 (-.f64 3/2 z))) (/.f64 (neg.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2))))) (pow.f64 (-.f64 1/2 z) 1) (pow.f64 (sqrt.f64 (-.f64 1/2 z)) 2) (pow.f64 (cbrt.f64 (-.f64 1/2 z)) 3) (pow.f64 (pow.f64 (-.f64 1/2 z) 3) 1/3) (sqrt.f64 (pow.f64 (-.f64 1/2 z) 2)) (log.f64 (exp.f64 (-.f64 1/2 z))) (log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 z)))) (cbrt.f64 (pow.f64 (-.f64 1/2 z) 3)) (expm1.f64 (log.f64 (-.f64 3/2 z))) (exp.f64 (log.f64 (-.f64 1/2 z))) (exp.f64 (*.f64 (log.f64 (-.f64 1/2 z)) 1)) (log1p.f64 (expm1.f64 (-.f64 1/2 z))) (fma.f64 1 (-.f64 1 z) -1/2) (fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1/2) (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) -1/2))

simplify126.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-/r/`
1000×	`associate-/l/`
682×	`associate-+r+`
664×	`associate-+l+`
610×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	5164
1	909	4928
2	3988	4772

Stop Event

1×	node limit

Counts

132 → 172

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 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.f64))))
(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
1/2
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(+.f64 (*.f64 -1 z) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) 1)
(/.f64 1 (/.f64 z (.f64 (.f64 (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 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (.f64 (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)) z)
(/.f64 (sqrt.f64 (.f64 (.f64 (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 z (sqrt.f64 (.f64 (.f64 (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 (pow.f64 (cbrt.f64 (.f64 (.f64 (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))) 2) (/.f64 z (cbrt.f64 (.f64 (.f64 (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 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (.f64 (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)) -1) (neg.f64 z))
(/.f64 (.f64 -1 (.f64 (.f64 (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))) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (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)) 1) z)
(/.f64 (/.f64 (.f64 (.f64 (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)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (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)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 (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))) (neg.f64 z))
(pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 2))
(log.f64 (exp.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 (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)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (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)) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 (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)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(exp.f64 (.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1)
(*.f64 1 (exp.f64 (-.f64 15/2 z)))
(*.f64 (exp.f64 (-.f64 15/2 z)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2))
(*.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z)))
(*.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2))
(/.f64 1 (exp.f64 (-.f64 15/2 z)))
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))
(/.f64 (E.f64) (exp.f64 (+.f64 z -13/2)))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))
(pow.f64 (exp.f64 (-.f64 15/2 z)) 1)
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 15/2 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z)))
(pow.f64 (exp.f64 -1) (-.f64 15/2 z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z))))
(-.f64 1 (+.f64 z 1/2))
(-.f64 (-.f64 3/2 z) 1)
(-.f64 1/2 z)
(-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 3/2 z)) (/.f64 1/4 (-.f64 3/2 z)))
(-.f64 (+.f64 -1/2 (exp.f64 (log.f64 (-.f64 2 z)))) 1)
(-.f64 (+.f64 -1/2 (/.f64 1 (+.f64 1 z))) (/.f64 (*.f64 z z) (+.f64 1 z)))
(-.f64 (+.f64 -1/2 (/.f64 1 (+.f64 1 (fma.f64 z z z)))) (/.f64 (pow.f64 z 3) (+.f64 1 (fma.f64 z z z))))
(*.f64 1 (-.f64 1/2 z))
(*.f64 (-.f64 1/2 z) 1)
(*.f64 (sqrt.f64 (-.f64 1/2 z)) (sqrt.f64 (-.f64 1/2 z)))
(*.f64 (cbrt.f64 (-.f64 1/2 z)) (pow.f64 (cbrt.f64 (-.f64 1/2 z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 z)) 2) (cbrt.f64 (-.f64 1/2 z)))
(*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4) (/.f64 1 (-.f64 3/2 z)))
(.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (.f64 (-.f64 1 z) -1/2)))))
(/.f64 1 (/.f64 (-.f64 3/2 z) (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4)))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2))) (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4) (-.f64 3/2 z))
(/.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3)) (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2))))
(/.f64 (-.f64 1/4 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1/2 (-.f64 1 z)))
(/.f64 (-.f64 1 (*.f64 (+.f64 z 1/2) (+.f64 z 1/2))) (+.f64 (+.f64 1 z) 1/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1/2) 3)) (+.f64 1 (+.f64 (+.f64 z 1/2) (*.f64 (+.f64 z 1/2) (+.f64 z 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4)) (neg.f64 (-.f64 3/2 z)))
(/.f64 (neg.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2)))))
(pow.f64 (-.f64 1/2 z) 1)
(pow.f64 (sqrt.f64 (-.f64 1/2 z)) 2)
(pow.f64 (cbrt.f64 (-.f64 1/2 z)) 3)
(pow.f64 (pow.f64 (-.f64 1/2 z) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/2 z) 2))
(log.f64 (exp.f64 (-.f64 1/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 z))))
(cbrt.f64 (pow.f64 (-.f64 1/2 z) 3))
(expm1.f64 (log.f64 (-.f64 3/2 z)))
(exp.f64 (log.f64 (-.f64 1/2 z)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 z)) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 z)))
(fma.f64 1 (-.f64 1 z) -1/2)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) -1/2)

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 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.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 (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 z (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 (/.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)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z (sqrt.f64 2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 z (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))))) (.f64 (.f64 (sqrt.f64 2) (*.f64 z z)) (sqrt.f64 (PI.f64))))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)))))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z (sqrt.f64 2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))) 1/6))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (sqrt.f64 (PI.f64)))))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.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))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(*.f64 (+.f64 z 1) (exp.f64 -15/2))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (exp.f64 -15/2) (fma.f64 (exp.f64 -15/2) z (.f64 1/2 (.f64 (exp.f64 -15/2) (*.f64 z z)))))
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(/.f64 (-.f64 1 (*.f64 (+.f64 z 1/2) (+.f64 z 1/2))) (+.f64 z 3/2))
(/.f64 (+.f64 1 (*.f64 (+.f64 z 1/2) (-.f64 -1/2 z))) (+.f64 z 3/2))
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1/2) 3)) (+.f64 1 (+.f64 (+.f64 z 1/2) (*.f64 (+.f64 z 1/2) (+.f64 z 1/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1/2) 3)) (+.f64 1 (*.f64 (+.f64 (+.f64 z 1/2) 1) (+.f64 z 1/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 z 1/2) 3)) (fma.f64 (+.f64 z 3/2) (+.f64 z 1/2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1/4)) (neg.f64 (-.f64 3/2 z)))
(/.f64 (-.f64 1/4 (pow.f64 (-.f64 1 z) 2)) (+.f64 -3/2 z))
(/.f64 (-.f64 1/4 (pow.f64 (-.f64 1 z) 2)) (+.f64 z -3/2))
(/.f64 (neg.f64 (+.f64 -1/8 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2)))))
(/.f64 (+.f64 1/8 (neg.f64 (pow.f64 (-.f64 1 z) 3))) (+.f64 -1/4 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (-.f64 1 z) -1/2)))))
(/.f64 (-.f64 1/8 (pow.f64 (-.f64 1 z) 3)) (-.f64 -1/4 (*.f64 (-.f64 1 z) (-.f64 (-.f64 1 z) -1/2))))
(/.f64 (-.f64 1/8 (pow.f64 (-.f64 1 z) 3)) (+.f64 -1/4 (*.f64 (-.f64 1 z) (+.f64 z -3/2))))
(pow.f64 (-.f64 1/2 z) 1)
(-.f64 1/2 z)
(pow.f64 (sqrt.f64 (-.f64 1/2 z)) 2)
(-.f64 1/2 z)
(pow.f64 (cbrt.f64 (-.f64 1/2 z)) 3)
(-.f64 1/2 z)
(pow.f64 (pow.f64 (-.f64 1/2 z) 3) 1/3)
(-.f64 1/2 z)
(sqrt.f64 (pow.f64 (-.f64 1/2 z) 2))
(fabs.f64 (-.f64 1/2 z))
(log.f64 (exp.f64 (-.f64 1/2 z)))
(-.f64 1/2 z)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 z))))
(-.f64 1/2 z)
(cbrt.f64 (pow.f64 (-.f64 1/2 z) 3))
(-.f64 1/2 z)
(expm1.f64 (log.f64 (-.f64 3/2 z)))
(exp.f64 (log.f64 (-.f64 1/2 z)))
(-.f64 1/2 z)
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 z)) 1))
(-.f64 1/2 z)
(log1p.f64 (expm1.f64 (-.f64 1/2 z)))
(-.f64 1/2 z)
(fma.f64 1 (-.f64 1 z) -1/2)
(-.f64 1/2 z)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1/2)
(-.f64 1/2 z)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) -1/2)

localize106.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	99.7%	(*.f64 (PI.f64) z)
	99.5%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	99.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 238 to 179 computations (24.8% saved)

series11.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

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 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

3.0ms

(*.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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

2.0ms

-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 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

rewrite92.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	135
1	942	135

Stop Event

1×	node limit

Counts

1 → 7

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 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

((/.f64 (*.f64 (PI.f64) (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 (PI.f64) z))) (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1) (log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1848×	`distribute-lft-in`
1032×	`associate-*r/`
936×	`associate-/l*`
896×	`associate-*l/`
692×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	4333
1	653	3843
2	2544	3819

Stop Event

1×	node limit

Counts

19 → 49

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 315712370878573157693983952839/705600000000000000000000000 (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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2))))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.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 315712370878573157693983952839/705600000000000000000000000 (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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2))))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.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 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/8400000000000000000000000 (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 315712370878573157693983952839/705600000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 315712370878573157693983952839/1411200000000000000000000000 (exp.f64 -15/2)) (.f64 1031437005281937915679/245862400000000000000000000000 (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 315712370878573157693983952839/705600000000000000000000000 (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 (.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 315712370878573157693983952839/705600000000000000000000000 (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 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))))
(+.f64 (.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)))) (.f64 9876869457595968283/37500000000000000 (.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 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 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)))) (.f64 9876869457595968283/37500000000000000 (.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 -444344332714102833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 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)))) (.f64 9876869457595968283/37500000000000000 (.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)))))))
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(pow.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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(exp.f64 (log.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 (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) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(pow.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (exp.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(cbrt.f64 (.f64 (.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log1p.f64 (expm1.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.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 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 9876869457595968283/37500000000000000 (.f64 z 40269435042492127/90000000000000))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))

localize220.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.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))))))))
✓	98.5%	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))
	98.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	98.4%	(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 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))))))))
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 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))))))))
1.0ms	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 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))))))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))

rewrite86.0ms (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 z 40269435042492127/90000000000000)))

(*.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 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 1 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (*.f64 (sqrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (sqrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (*.f64 (*.f64 (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (cbrt.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (-.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))) (*.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))))) (pow.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) 1) (log.f64 (exp.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (cbrt.f64 (*.f64 (*.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000))) (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (expm1.f64 (log1p.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (exp.f64 (log.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))) (log1p.f64 (expm1.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)))))

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

simplify123.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-+r+`
1046×	`associate-*r/`
978×	`associate-+l+`
922×	`associate-/l*`
876×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	5218
1	791	4482
2	3166	4458

Stop Event

1×	node limit

Counts

42 → 70

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))))
(+.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 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 -315341357520700009111955479981/118540800000000000000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.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)))))
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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))))
(+.f64 (.f64 9151757080597036297/30000000000000000 (.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 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)))))
(+.f64 (.f64 9151757080597036297/30000000000000000 (.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 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)))) (.f64 4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
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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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(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 (+.f64 9151757080597036297/30000000000000000 (.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 (+.f64 9151757080597036297/30000000000000000 (.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 (+.f64 9151757080597036297/30000000000000000 (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.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 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 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 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 (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 (+.f64 9151757080597036297/30000000000000000 (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.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 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 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 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 (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 (+.f64 9151757080597036297/30000000000000000 (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.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 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 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 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 (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 (+.f64 9151757080597036297/30000000000000000 (.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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.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 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))

localize107.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(/.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))))
✓	98.9%	(.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))))
✓	98.5%	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
✓	98.4%	(pow.f64 (PI.f64) 3)

Compiler

Compiled 143 to 100 computations (30.1% saved)

series4.0ms (0%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.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))))
1.0ms	z	@	0	(/.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))))
0.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms	z	@	-inf	(.f64 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))))
0.0ms	z	@	inf	(.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))))

rewrite122.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`add-sqr-sqrt`
540×	`*-un-lft-identity`
536×	`pow1`
526×	`add-exp-log`
526×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	190
1	571	190
2	7321	190

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(.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 (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))))

Outputs
((-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1) (.f64 (PI.f64) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1) (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2)) (.f64 1 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3/4) (.f64 (pow.f64 (PI.f64) 3/4) (pow.f64 (PI.f64) 3/2))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 2) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 3/4)) (.f64 (.f64 (pow.f64 (PI.f64) 3/2) (PI.f64)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) 6)) (log.f64 (exp.f64 (pow.f64 (PI.f64) 3))) (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3)))) (cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) (exp.f64 (log.f64 (pow.f64 (PI.f64) 3))) (exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 3)) 1)) (log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3))))
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(/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)) -1) (neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))) (sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)) (log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)) (cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) 3) (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 3))) (expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) (exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)) (log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))

simplify127.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1776×	`distribute-lft-in`
1408×	`associate-/r/`
900×	`associate-+r+`
768×	`associate-r`
764×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	388	9508
1	1101	8858
2	4749	8822

Stop Event

1×	node limit

Counts

130 → 199

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (sqrt.f64 2)) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 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 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 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 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 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64)))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (PI.f64))))
(+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (PI.f64)) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64)))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (PI.f64)))))) (+.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (PI.f64)) (+.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (PI.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))))
(/.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))))
(/.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))))
(/.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))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 (pow.f64 (PI.f64) 3/4) (.f64 (pow.f64 (PI.f64) 3/4) (pow.f64 (PI.f64) 3/2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 3/4))
(.f64 (.f64 (pow.f64 (PI.f64) 3/2) (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (log.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(/.f64 (.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))
(/.f64 (.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (.f64 (+.f64 (+.f64 z -15/2) (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))))) 1)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2)))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3/2))) 1106209385320415913103082059/4200000000000000000000000) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))) 1)
(pow.f64 (.f64 (sqrt.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) (pow.f64 (PI.f64) 3/4)) 2)
(pow.f64 (.f64 (cbrt.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))) (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))) 3) 1/3)
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2))) 2)))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)))) 3))
(expm1.f64 (log1p.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2))))))
(exp.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2))))))
(exp.f64 (.f64 (log.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))) 1)
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 2) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (sqrt.f64 2) (/.f64 1 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 1)
(.f64 1 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 2) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))) (.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sqrt.f64 2))) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 2) (sqrt.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))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) 1) (/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))) 1) (/.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) 1) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (exp.f64 (+.f64 z -15/2)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z)))))
(pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 2))) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (.f64 z (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (.f64 z (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z) (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (.f64 z z) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))))) (pow.f64 z 3)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(.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)) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (sqrt.f64 2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z) (.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))) (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) (.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 z (.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (.f64 (.f64 1/6 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 z (.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))) (.f64 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (PI.f64)) (sqrt.f64 2))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (sqrt.f64 2))))))
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(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1))
(/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 (neg.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))

eval1.7s (2.1%)

Compiler: Compiled 60699 to 48216 computations (20.6% saved)

prune524.0ms (0.6%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	906	28	934
Fresh	12	10	22
Picked	1	0	1
Done	3	3	6
Total	922	41	963

Accurracy

100.0%

Counts

963 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
	11.4%	(/.f64 (.f64 (.f64 (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)) z)
	11.4%	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
	11.4%	(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
	96.5%	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
	11.4%	(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
	11.4%	(/.f64 1 (/.f64 z (.f64 (.f64 (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))))
	96.8%	(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 1 (-.f64 (neg.f64 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)))))
	97.5%	(.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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 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))))))))
	95.9%	(.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 (exp.f64 (log.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))))))))
	97.3%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.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 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
✓	99.1%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
	97.5%	(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	98.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	96.7%	(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.9%	(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
	96.0%	(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
▶	96.4%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	96.7%	(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.1%	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
	96.7%	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
▶	98.4%	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
	11.4%	(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
	11.4%	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
	96.6%	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
	97.1%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
	97.0%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
▶	96.8%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
	97.1%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
▶	11.4%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
	97.1%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
	97.1%	(.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 3290 to 2758 computations (16.2% saved)

localize355.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓	98.4%	(*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	98.4%	(.f64 (sqrt.f64 2) (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)))))

Compiler

Compiled 196 to 187 computations (4.6% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite258.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
694×	`associate-*l/`
492×	`add-sqr-sqrt`
464×	`pow1`
464×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	112
1	504	106
2	5764	106

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (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)))))
(sqrt.f64 (PI.f64))
(*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))

Outputs
((+.f64 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (sqrt.f64 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) (sqrt.f64 2))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) (sqrt.f64 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (sqrt.f64 2))) (-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))) 1) (/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15)))) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (/.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 3))) (-.f64 (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) (/.f64 (.f64 (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (sqrt.f64 2)) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 3)) (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 1) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 2) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 3) (pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 3) 1/3) (sqrt.f64 (.f64 2 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 2))) (log.f64 (pow.f64 (exp.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (sqrt.f64 2))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 3)) (cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 3))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 3) (.f64 2 (sqrt.f64 2)))) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))) (exp.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))) (exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 1)) (log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))))
((-.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 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64)))) (.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64))) (.f64 (pow.f64 (pow.f64 (cbrt.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 (.f64 (exp.f64 -15/2) -1/15) (.f64 (exp.f64 -15/2) (log.f64 2/15))) (+.f64 (.f64 (exp.f64 -15/2) (log.f64 2/15)) (.f64 (exp.f64 -15/2) -1/15)) (+.f64 (.f64 -1/15 (exp.f64 -15/2)) (.f64 (log.f64 2/15) (exp.f64 -15/2))) (+.f64 (.f64 (log.f64 2/15) (exp.f64 -15/2)) (.f64 -1/15 (exp.f64 -15/2))) (-.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))) 1) (/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (/.f64 (exp.f64 -15/2) (/.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (/.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2)) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2)) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15)))) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3))) (+.f64 1/225 (-.f64 (.f64 (log.f64 2/15) (log.f64 2/15)) (.f64 -1/15 (log.f64 2/15))))) (/.f64 (.f64 (exp.f64 -15/2) (neg.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (neg.f64 (+.f64 -1/15 (log.f64 15/2)))) (/.f64 (.f64 (exp.f64 -15/2) (neg.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (neg.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))) (/.f64 (.f64 1 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 1 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 1 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2))) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 1 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2))) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))) (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2)))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))) (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (sqrt.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2)) (cbrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (cbrt.f64 (+.f64 -1/15 (log.f64 15/2)))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2)) (cbrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (cbrt.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))) (/.f64 (.f64 (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15))) (exp.f64 -15/2)) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)) (exp.f64 -15/2)) (+.f64 1/225 (-.f64 (.f64 (log.f64 2/15) (log.f64 2/15)) (.f64 -1/15 (log.f64 2/15))))) (/.f64 (.f64 (neg.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (exp.f64 -15/2)) (neg.f64 (+.f64 -1/15 (log.f64 15/2)))) (/.f64 (.f64 (neg.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (exp.f64 -15/2)) (neg.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) 1) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) 1) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2)) 1) (+.f64 -1/15 (log.f64 15/2))) (/.f64 (.f64 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2)) 1) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (/.f64 (.f64 (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2)))) (/.f64 (.f64 (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))) (pow.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 1) (pow.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 2) (pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 3) (pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3) 1/3) (sqrt.f64 (.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) (exp.f64 -15))) (log.f64 (pow.f64 (/.f64 (exp.f64 -1/15) 15/2) (exp.f64 -15/2))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))))) (cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3)) (cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3))) (cbrt.f64 (.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3) (pow.f64 (exp.f64 -15/2) 3))) (expm1.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))) (exp.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15))))) (exp.f64 (.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15)))) 1)) (log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))))
((-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 1) (pow.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 1) (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 2) (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 3) (pow.f64 (pow.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3) (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3)) (cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3))) (cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2)))) (expm1.f64 (log1p.f64 (.f64 (sqrt.f64 15/2) (exp.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 (sqrt.f64 15/2) (exp.f64 -15/2)))))

simplify88.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1716×	`distribute-lft-in`
1700×	`distribute-rgt-in`
1264×	`unswap-sqr`
530×	`associate-/l*`
338×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	4570
1	714	4374
2	2415	4212

Stop Event

1×	node limit

Counts

108 → 146

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))
(+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (sqrt.f64 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) (sqrt.f64 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15)))) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 3))) (-.f64 (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (sqrt.f64 2)) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 3)) (sqrt.f64 2)) (-.f64 (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))) (.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))
(pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 3) 1/3)
(sqrt.f64 (.f64 2 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))))
(-.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 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.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 (.f64 (exp.f64 -15/2) -1/15) (.f64 (exp.f64 -15/2) (log.f64 2/15)))
(+.f64 (.f64 (exp.f64 -15/2) (log.f64 2/15)) (.f64 (exp.f64 -15/2) -1/15))
(+.f64 (.f64 -1/15 (exp.f64 -15/2)) (.f64 (log.f64 2/15) (exp.f64 -15/2)))
(+.f64 (.f64 (log.f64 2/15) (exp.f64 -15/2)) (.f64 -1/15 (exp.f64 -15/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))) 1)
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))))
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))))
(/.f64 (*.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(/.f64 (*.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2)) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2)) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(/.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15)))) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 (exp.f64 -15/2) (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3))) (+.f64 1/225 (-.f64 (.f64 (log.f64 2/15) (log.f64 2/15)) (*.f64 -1/15 (log.f64 2/15)))))
(/.f64 (*.f64 (exp.f64 -15/2) (neg.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (neg.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (.f64 (exp.f64 -15/2) (neg.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (neg.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(/.f64 (.f64 1 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 1 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(/.f64 (.f64 1 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2))) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 1 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2))) (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))) (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))) (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (sqrt.f64 (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2)) (cbrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))) (cbrt.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2)) (cbrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (cbrt.f64 (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(/.f64 (.f64 (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15))) (exp.f64 -15/2)) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)) (exp.f64 -15/2)) (+.f64 1/225 (-.f64 (.f64 (log.f64 2/15) (log.f64 2/15)) (*.f64 -1/15 (log.f64 2/15)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (exp.f64 -15/2)) (neg.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (.f64 (neg.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (exp.f64 -15/2)) (neg.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) 1) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) 1) (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(/.f64 (.f64 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2)) 1) (+.f64 -1/15 (log.f64 15/2)))
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(/.f64 (.f64 (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) (exp.f64 -15)))
(log.f64 (pow.f64 (/.f64 (exp.f64 -1/15) 15/2) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 -15/2) 3) (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3) (pow.f64 (exp.f64 -15/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))))
(exp.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15)))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.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 (sqrt.f64 15/2) (exp.f64 -15/2))))

Outputs
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(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (sqrt.f64 15/2))) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
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(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (exp.f64 -15/2) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (sqrt.f64 15/2))) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000))))
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(.f64 (/.f64 (.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2)) (cbrt.f64 (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225))) (cbrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (cbrt.f64 (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225)) (pow.f64 (cbrt.f64 (+.f64 -1/15 (log.f64 2/15))) 2))) (cbrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))))
(/.f64 (.f64 (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15))) (exp.f64 -15/2)) (+.f64 -1/15 (log.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (*.f64 (log.f64 2/15) (log.f64 2/15)))))
(.f64 (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))) (-.f64 1/225 (.f64 (log.f64 2/15) (log.f64 2/15))))
(/.f64 (.f64 (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)) (exp.f64 -15/2)) (+.f64 1/225 (-.f64 (.f64 (log.f64 2/15) (log.f64 2/15)) (*.f64 -1/15 (log.f64 2/15)))))
(/.f64 (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)) (/.f64 (+.f64 1/225 (*.f64 (log.f64 2/15) (-.f64 (log.f64 2/15) -1/15))) (exp.f64 -15/2)))
(*.f64 (/.f64 (exp.f64 -15/2) (fma.f64 (log.f64 2/15) (+.f64 (log.f64 2/15) 1/15) 1/225)) (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)))
(*.f64 (/.f64 (+.f64 -1/3375 (pow.f64 (log.f64 2/15) 3)) (fma.f64 (log.f64 2/15) (+.f64 (log.f64 2/15) 1/15) 1/225)) (exp.f64 -15/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (exp.f64 -15/2)) (neg.f64 (+.f64 -1/15 (log.f64 15/2))))
(*.f64 (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))
(*.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (exp.f64 -15/2)) (neg.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(.f64 (/.f64 (exp.f64 -15/2) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))
(*.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (/.f64 (exp.f64 -15/2) (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) 1) (+.f64 -1/15 (log.f64 15/2)))
(*.f64 (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))
(*.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) 1) (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(.f64 (/.f64 (exp.f64 -15/2) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))
(*.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (/.f64 (exp.f64 -15/2) (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225)))
(/.f64 (.f64 (.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (exp.f64 -15/2)) 1) (+.f64 -1/15 (log.f64 15/2)))
(*.f64 (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)))
(*.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (/.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (exp.f64 -15/2) (/.f64 (+.f64 -1/15 (log.f64 15/2)) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))))
(/.f64 (.f64 (.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (exp.f64 -15/2)) 1) (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)))))
(.f64 (/.f64 (exp.f64 -15/2) (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))
(*.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (/.f64 (exp.f64 -15/2) (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225)))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2))))
(/.f64 (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (/.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (sqrt.f64 (+.f64 -1/15 (log.f64 15/2)))) (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (.f64 (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))) (exp.f64 -15/2))) (sqrt.f64 (+.f64 1/225 (*.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))))
(/.f64 (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (/.f64 (sqrt.f64 (+.f64 1/225 (.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2))))) (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15))))))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225)) (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)))) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (sqrt.f64 (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225))) (.f64 (exp.f64 -15/2) (sqrt.f64 (+.f64 -1/15 (log.f64 2/15)))))
(pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 1)
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 2)
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))) 3)
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3) 1/3)
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2) (exp.f64 -15)))
(sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)))
(log.f64 (pow.f64 (/.f64 (exp.f64 -1/15) 15/2) (exp.f64 -15/2)))
(*.f64 (exp.f64 -15/2) (log.f64 (/.f64 (exp.f64 -1/15) 15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))))))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15))) 3))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 -15/2) 3) (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3)))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3) (pow.f64 (exp.f64 -15/2) 3)))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(exp.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15)))))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (+.f64 -1/15 (log.f64 2/15)))) 1))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (+.f64 -1/15 (log.f64 2/15)))))
(*.f64 (+.f64 -1/15 (log.f64 2/15)) (exp.f64 -15/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))) 1)
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 1)
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 2)
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) 3)
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3) 1/3)
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) 3))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (sqrt.f64 15/2) (.f64 15/2 (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (sqrt.f64 15/2) (.f64 15/2 (pow.f64 (exp.f64 -15/2) 3))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))

localize48.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))
✓	99.2%	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
✓	98.9%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
✓	98.4%	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 91 to 67 computations (26.4% saved)

series13.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))
2.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
2.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
2.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
1.0ms	z	@	inf	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))

rewrite116.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`associate-/r*`
436×	`add-sqr-sqrt`
418×	`*-un-lft-identity`
416×	`pow1`
408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	156
1	435	156
2	5609	156

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify142.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

952×	`associate-/l*`
772×	`associate-r`
626×	`associate-l`
620×	`associate-+r+`
620×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	9933
1	1264	9693
2	6420	9489

Stop Event

1×	node limit

Counts

183 → 217

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 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 -1/6 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
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(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 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 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (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 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/4))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (*.f64 2 (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
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(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) (exp.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) z) (exp.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z)) z)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (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 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) -16/15)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
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(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (.f64 z (fma.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))))) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 z (.f64 (sqrt.f64 2) (fma.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) 1/2 (-.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (.f64 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))))))))
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(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 -1/6 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (sqrt.f64 (PI.f64)))) (fma.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 (sqrt.f64 2) (.f64 (.f64 z (fma.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))))) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 z z) (fma.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (fma.f64 -1 (.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 (exp.f64 15/2) (sqrt.f64 15/2)) -1/6))))) (sqrt.f64 (PI.f64))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (sqrt.f64 2) (.f64 z (.f64 (fma.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) 1/2 (-.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 (fma.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))) (fma.f64 1/2 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (-.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) -1/6)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))))) (.f64 (sqrt.f64 2) (*.f64 z z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) -16/15)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (+.f64 (.f64 z (-.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 1/2)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))))) (.f64 (.f64 z z) (+.f64 (.f64 (exp.f64 15/2) (+.f64 (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2) (neg.f64 (.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))))) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (sqrt.f64 (PI.f64)))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) -1) z)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) 1) z)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1) (exp.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) z) (exp.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z)) z)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 2)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3) 1/3)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z))) 2))
(fabs.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 (-.f64 15/2 z)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))

localize59.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)
	99.9%	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
✓	99.4%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 115 to 96 computations (16.5% saved)

series6.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	0	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	-inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
0.0ms	z	@	-inf	(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)
0.0ms	z	@	inf	(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)

rewrite107.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`associate-/r*`
478×	`add-sqr-sqrt`
454×	`*-un-lft-identity`
452×	`pow1`
444×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	494	70
2	6144	70

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))

(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)

Outputs

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

((-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)) (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 1 z))) (exp.f64 13/2)) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z))) (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -1 z))) (exp.f64 -13/2)) (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2))) (log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (+.f64 -15/2 z)))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3)) (expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (exp.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z)) (exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) 1)) (log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))

simplify108.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
1052×	`distribute-rgt-in`
578×	`associate-/l/`
542×	`distribute-lft-neg-out`
522×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	5701
1	794	5615
2	3954	5547

Stop Event

1×	node limit

Counts

103 → 159

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))) (sqrt.f64 (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.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))) (sqrt.f64 (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -1/8 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (sqrt.f64 15/2) 3)) (sqrt.f64 (PI.f64)))))) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (sqrt.f64 15/2) 3)) (sqrt.f64 (PI.f64)))) (.f64 -1/16 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (sqrt.f64 15/2) 5)) (sqrt.f64 (PI.f64))))))) (pow.f64 z 2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -1/8 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (sqrt.f64 15/2) 3)) (sqrt.f64 (PI.f64)))))) z)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) z)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)))) 1)
(/.f64 1 (/.f64 z (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (sqrt.f64 (+.f64 -15/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (*.f64 (PI.f64) 2) (+.f64 -15/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 1)
(/.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))
(/.f64 (cbrt.f64 (.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)) (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z)))) (/.f64 z (cbrt.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (PI.f64) 2) (+.f64 -15/2 z))) (exp.f64 (+.f64 -15/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 z))
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 1) z)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (*.f64 z z))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 z)) (cbrt.f64 (*.f64 z z)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) 1) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (cbrt.f64 (.f64 z z))) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) -1) z)
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) -1) (neg.f64 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) (neg.f64 z))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (.f64 z z))) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) z)
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (cbrt.f64 (.f64 z z)))) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 1) 1) z)
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) 1) (sqrt.f64 z))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (cbrt.f64 z)) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 (cbrt.f64 (*.f64 z z)))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (*.f64 z z))) 1) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (*.f64 z z))) (sqrt.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (.f64 z z))) (.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (cbrt.f64 z)))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (*.f64 z z))) (cbrt.f64 (sqrt.f64 z))) (cbrt.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (cbrt.f64 (.f64 z z))) (cbrt.f64 (cbrt.f64 (.f64 z z)))) (cbrt.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (cbrt.f64 (*.f64 z z))) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) -1) z)
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (cbrt.f64 (*.f64 z z)))) (cbrt.f64 z))
(pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(exp.f64 (+.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(exp.f64 (.f64 (+.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) (log.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 1 z))) (exp.f64 13/2))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -1 z))) (exp.f64 -13/2))
(pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (+.f64 -15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))

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 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.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))) (sqrt.f64 (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)) (.f64 -1/2 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))))) (.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -1/8 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (pow.f64 (sqrt.f64 15/2) 3)) (sqrt.f64 (PI.f64)))))) z))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)) (.f64 -1/2 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))) (.f64 z (fma.f64 -1/2 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (fma.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (.f64 -1/8 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (pow.f64 (sqrt.f64 15/2) 3)))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))))) (fma.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 z (fma.f64 -1/2 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1/2) (.f64 -1/8 (*.f64 (/.f64 (exp.f64 -15/2) 15/2) (/.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 z (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -1/8 (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (.f64 15/2 (sqrt.f64 15/2))) (+.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) 1/2) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (.f64 -1/2 (.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2))))))))
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(sqrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000)) 2))
(fabs.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))
(fabs.f64 (/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z)))))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z)) 3))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (.f64 (PI.f64) (*.f64 2 (+.f64 -15/2 z))))) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (.f64 (pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15)))) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (*.f64 2 z)))) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (.f64 (PI.f64) (*.f64 2 (+.f64 -15/2 z))))) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (.f64 (pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15)))) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (*.f64 2 z)))) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(exp.f64 (+.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) (log.f64 (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(exp.f64 (+.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 15/2 z)) (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) z) (exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (*.f64 2 z)))) z) (exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z))))
(exp.f64 (.f64 (+.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) (log.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))) 1))
(exp.f64 (+.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 15/2 z)) (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) z) (exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (*.f64 2 z)))) z) (exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (+.f64 -15/2 z))) z))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 2 (+.f64 -15/2 z)))) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (PI.f64) (+.f64 (*.f64 z 2) -15))) (/.f64 z (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 z))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (cbrt.f64 (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) 2)) (cbrt.f64 (exp.f64 (+.f64 -15/2 z))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 1 z))) (exp.f64 13/2))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 13/2)) (exp.f64 (-.f64 1 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -1 z))) (exp.f64 -13/2))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 2)))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 (+.f64 -15 (.f64 2 z)))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (+.f64 -15/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 15/2 z)))
(exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z)))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) 15/2) z) 1))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 15/2 z)))
(exp.f64 (+.f64 15/2 (-.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) z)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))

localize54.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z)
✓	98.9%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
✓	98.5%	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
	98.4%	(sqrt.f64 (PI.f64))

Compiler

Compiled 98 to 70 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
0.0ms	z	@	0	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
0.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
0.0ms	z	@	-inf	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

rewrite107.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`associate-/r/`
504×	`add-sqr-sqrt`
482×	`*-un-lft-identity`
478×	`pow1`
468×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	119
1	504	119
2	6479	119

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1466×	`distribute-lft-in`
1454×	`distribute-rgt-in`
1020×	`associate-/r*`
756×	`associate-+r+`
690×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	5837
1	884	5551
2	3318	5527

Stop Event

1×	node limit

Counts

125 → 167

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.f64))))
(.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)))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 z (+.f64 -15/2 (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(exp.f64 (.f64 (+.f64 z (+.f64 -15/2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))))) 1)
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2)))) z)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) 1106209385320415913103082059/4200000000000000000000000) z)
(pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2))))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2))))))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))))))
(exp.f64 (.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))) 1)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (/.f64 1 z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1 (/.f64 (sqrt.f64 2) z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 z))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) (cbrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)))
(.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 z)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 (neg.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 2))
(.f64 (.f64 1 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 2) z))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) z))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) z) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 z)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1)) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (pow.f64 2 1/4))) (pow.f64 2 1/4))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 2))
(.f64 (/.f64 1 (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (/.f64 1 (/.f64 z (cbrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (/.f64 z (sqrt.f64 2))) (pow.f64 (PI.f64) 1/4))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) z) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 3) 1/3)
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 z)))
(sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))

Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (.f64 (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 z z))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(exp.f64 (.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 (+.f64 z -15/2) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))))) 1))
(exp.f64 (+.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (+.f64 -15/2 z)) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (PI.f64) 2))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))) 1)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (/.f64 1 z)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1 (/.f64 (sqrt.f64 2) z)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 z)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 z))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) 1)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 1 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) (cbrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 2 z))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (cbrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (cbrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 2 z))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (cbrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 z)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 1 z))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) z))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (cbrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (/.f64 1 (neg.f64 z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 z)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (sqrt.f64 z) (sqrt.f64 z)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 z)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 z)) (cbrt.f64 (.f64 z z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 2)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (.f64 1 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (/.f64 1 (neg.f64 z)) (neg.f64 (sqrt.f64 (.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 2) z))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)))
(/.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 2)) (sqrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 z)))
(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (.f64 (cbrt.f64 (*.f64 z z)) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) z))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) z) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (.f64 z z))) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 z)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (.f64 z z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 z))
(/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 z)) (cbrt.f64 (.f64 z z)))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (cbrt.f64 z) (cbrt.f64 (*.f64 z z))))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) z))
(.f64 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 1 z))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) z))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (cbrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (/.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (.f64 z z))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 z)) (neg.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (pow.f64 2 1/4))) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/4) (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (pow.f64 2 1/4)))
(*.f64 (pow.f64 2 1/4) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (pow.f64 2 1/4))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 z (sqrt.f64 (PI.f64)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 (/.f64 1 (/.f64 z (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 (/.f64 1 (/.f64 z (cbrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 1 z))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) z))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (cbrt.f64 (.f64 2 (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/4) (/.f64 z (sqrt.f64 2))) (pow.f64 (PI.f64) 1/4))
(/.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4)) (/.f64 z (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 1/2) z) (sqrt.f64 2))
(.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 2)) z) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 1 z))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) z))
(/.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (cbrt.f64 (.f64 2 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 z (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (cbrt.f64 (PI.f64)) z) (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (PI.f64)) z) (.f64 (sqrt.f64 2) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) z)) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 1)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)) 2)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)) 3)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 3) 1/3)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 (PI.f64) 2))) -1)
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (neg.f64 z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (.f64 z z)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) z) (/.f64 2 z)))
(sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z) 3))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 3) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)) 1))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) z)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)

localize123.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	98.5%	(+.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)))))
✓	98.5%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	98.5%	(.f64 (.f64 (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))))))
	98.4%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 270 to 192 computations (28.9% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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 (+.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))))))
1.0ms	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 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))))))
1.0ms	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 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))))))
0.0ms	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 (+.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)))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`add-sqr-sqrt`
912×	`add-exp-log`
910×	`add-cbrt-cube`
910×	`add-log-exp`
910×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	235
1	952	235

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 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 (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 (*.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 z 39321001939258358983/90000000000000000))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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) (log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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 (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 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 (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 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))) (exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))) (log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))))

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

((*.f64 1 (+.f64 (+.f64 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 (sqrt.f64 (+.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)))))) (sqrt.f64 (+.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 (cbrt.f64 (+.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)))))) (cbrt.f64 (+.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))))))) (cbrt.f64 (+.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 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.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 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 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.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 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (pow.f64 (+.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) (log.f64 (exp.f64 (+.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))))))) (cbrt.f64 (*.f64 (*.f64 (+.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 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 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))))))) (expm1.f64 (log1p.f64 (+.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))))))) (exp.f64 (log.f64 (+.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))))))) (log1p.f64 (expm1.f64 (+.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))))))))

simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-*r/`
1054×	`associate-*l/`
994×	`+-commutative`
608×	`associate-r`
526×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	6361
1	859	5489
2	3990	5311

Stop Event

1×	node limit

Counts

61 → 120

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))))) (sqrt.f64 (PI.f64))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))) (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.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 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(pow.f64 (+.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)
(log.f64 (exp.f64 (+.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)))))))
(cbrt.f64 (.f64 (.f64 (+.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 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 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)))))))
(expm1.f64 (log1p.f64 (+.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)))))))
(exp.f64 (log.f64 (+.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)))))))
(log1p.f64 (expm1.f64 (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
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(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

eval695.0ms (0.9%)

Compiler: Compiled 35435 to 28662 computations (19.1% saved)

prune655.0ms (0.8%)

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	898	21	919
Fresh	18	15	33
Picked	1	0	1
Done	3	4	7
Total	920	40	960

Accurracy

100.0%

Counts

960 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.0%	(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
	95.0%	(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
	96.8%	(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	97.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (+.f64 1 (-.f64 (neg.f64 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)))))
	97.5%	(.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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	97.4%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	97.7%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	98.3%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 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))))))))
	95.9%	(.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 (exp.f64 (log.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))))))))
	97.3%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.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 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
✓	99.1%	(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
	97.5%	(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
	98.2%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 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)))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	39.1%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
	97.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	98.4%	(.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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
	97.8%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	96.7%	(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	96.4%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
	97.2%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
	96.3%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
	95.3%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
	96.4%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
✓	96.4%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	96.3%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
	96.7%	(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	95.1%	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
	97.1%	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
	97.1%	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))
	98.4%	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (sqrt.f64 15/2))) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
	96.7%	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
	97.0%	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	96.5%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
	96.5%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
	21.5%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
	96.1%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
	96.1%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))

Compiler

Compiled 1761 to 1470 computations (16.5% saved)

regimes456.0ms (0.6%)

Counts

93 → 1

Calls

Call 1

Inputs
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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))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 -1/15 (log.f64 2/15)) (sqrt.f64 15/2))) (sqrt.f64 9042656459729130517754150590965240002113429346516614482963/2458624000000000000000000000000000000000000000000000)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3))))) (.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.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))) 1106209385320415913103082059/4200000000000000000000000)))

Outputs

(*.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.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))))))))))

Calls

2 calls:

243.0ms

(*.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)))))

50.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`z`
99.1%	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 4143 to 3213 computations (22.4% saved)

regimes104.0ms (0.1%)

Counts

74 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
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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 -15/2 (neg.f64 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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Outputs

(*.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.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))))))))))

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`z`

Compiler

Compiled 2701 to 2058 computations (23.8% saved)

regimes129.0ms (0.2%)

Counts

70 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
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(.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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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))))))))
(.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.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 (/.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 (.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))) 12777243138120953/60000000000000) (+.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 (/.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))))))))

Calls

1 calls:

57.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`z`

Compiler

Compiled 2333 to 1762 computations (24.5% saved)

regimes76.0ms (0.1%)

Counts

66 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.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 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.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 (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 z 40269435042492127/90000000000000))) (+.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) 646366562873259793/3000000000000000)) (+.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 (*.f64 z 40269435042492127/90000000000000) 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 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.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) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.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 (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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`z`

Compiler

Compiled 2021 to 1523 computations (24.6% saved)

regimes73.0ms (0.1%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.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 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.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 (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 z 40269435042492127/90000000000000))) (+.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) 646366562873259793/3000000000000000)) (+.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 (*.f64 z 40269435042492127/90000000000000) 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 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.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) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.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)))))))

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 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))))))))

Calls

1 calls:

28.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`z`

Compiler

Compiled 1947 to 1467 computations (24.7% saved)

regimes121.0ms (0.1%)

Counts

62 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.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 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.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 (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 z 40269435042492127/90000000000000))) (+.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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) 646366562873259793/3000000000000000)) (+.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 (*.f64 z 40269435042492127/90000000000000) 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))))))))

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 z 40269435042492127/90000000000000))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

77.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`z`

Compiler

Compiled 1759 to 1329 computations (24.4% saved)

regimes63.0ms (0.1%)

Counts

57 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.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 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.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)))))))

Outputs

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

26.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`z`

Compiler

Compiled 1473 to 1120 computations (24% saved)

regimes100.0ms (0.1%)

Counts

54 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 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 z 39321001939258358983/90000000000000000))))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.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 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z 40269435042492127/90000000000000) 9876869457595968283/37500000000000000))) (.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))))))
(.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 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 z 40269435042492127/90000000000000))) (+.f64 -6251307572601308353/150000000000000000 (+.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`z`

Compiler

Compiled 1327 to 1018 computations (23.3% saved)

regimes44.0ms (0.1%)

Counts

45 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (PI.f64))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (PI.f64) 3/2)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (PI.f64) 3/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)))))

Outputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`z`

Compiler

Compiled 973 to 772 computations (20.7% saved)

regimes36.0ms (0%)

Counts

38 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (sqrt.f64 15/2)) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) z))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (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 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`z`

Compiler

Compiled 772 to 612 computations (20.7% saved)

regimes26.0ms (0%)

Counts

26 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.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 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`z`

Compiler

Compiled 585 to 464 computations (20.7% saved)

regimes27.0ms (0%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`z`

Compiler

Compiled 555 to 439 computations (20.9% saved)

regimes23.0ms (0%)

Counts

23 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (-.f64 z 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))))
(/.f64 1 (/.f64 z (.f64 (.f64 (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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (.f64 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(.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 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.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))) 1106209385320415913103082059/4200000000000000000000000)))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`z`

Compiler

Compiled 514 to 406 computations (21% saved)

regimes16.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) 1/2)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (.f64 (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)) z)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`z`

Compiler

Compiled 316 to 243 computations (23.1% saved)

regimes7.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`z`

Compiler

Compiled 83 to 64 computations (22.9% saved)

regimes5.0ms (0%)

Accuracy

Total -61.5b remaining (-2459%)

Threshold costs -61.5b (-2459%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`z`

Compiler

Compiled 41 to 32 computations (22% saved)

simplify322.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1220×	`distribute-lft-neg-in`
1076×	`*-commutative`
852×	`+-commutative`
688×	`distribute-neg-in`
578×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	219	2253
1	372	2241
2	404	2241
3	447	2241
4	504	2241
5	566	2241
6	616	2241
7	647	2241
8	695	2241
9	771	2241
10	938	2241
11	1208	2241
12	1535	2241
13	1876	2241
14	2250	2241
15	2665	2241
16	3045	2241
17	3373	2241
18	3664	2241
19	3691	2241
20	3697	2241
21	3953	2241
22	4082	2241
23	4084	2241
24	4084	2241
25	4084	2241

Stop Event

1×	fuel
1×	saturated

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 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.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 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))))))))
(.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 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 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) (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 z 40269435042492127/90000000000000))) (+.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 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.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) 1/2)) (*.f64 (pow.f64 (exp.f64 -1) (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(.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) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 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 z 40269435042492127/90000000000000) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))

Outputs
(.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.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 (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 z -40269435042492127/90000000000000) -9151757080597036297/30000000000000000) (-.f64 -6251307572601308353/150000000000000000 (-.f64 (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 -1 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 1 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 2 z))))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (+.f64 -15 (.f64 z 2))))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 (PI.f64) (-.f64 -15 (.f64 z -2))))))

Compiler

Compiled 738 to 612 computations (17.1% saved)

soundness203.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1678×	`associate--l+`
1204×	`associate-/r*`
968×	`+-commutative`
858×	`*-commutative`
820×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	230	5387
1	681	4747
2	2840	3873
3	6261	3873

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 535 to 453 computations (15.3% saved)

end442.0ms (0.5%)

Compiler: Compiled 722 to 558 computations (22.7% saved)