Details

analyze579.0ms (0.8%)

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)

sample59.8s (78.1%)

Results

54.2s	3835×	body	8192	exit
5.4s	8256×	body	256	valid
115.0ms	97×	body	256	infinite
45.0ms	83×	body	256	unsamplable

Bogosity

preprocess44.0ms (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)

simplify50.0ms (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))))))))

eval8.0ms (0%)

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

prune7.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.3b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 350 to 293 computations (16.3% saved)

localize193.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 477 to 364 computations (23.7% saved)

series12.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.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))))))
3.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	0	(*.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

rewrite101.0ms (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	308
1	1499	308

Stop Event

1×	node limit

Counts

4 → 36

Calls

Call 1

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

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

simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-*r/`
1242×	`associate-*l/`
1118×	`+-commutative`
694×	`associate-/l*`
664×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	7132
1	950	6208
2	4354	6174

Stop Event

1×	node limit

Counts

72 → 131

Calls

Call 1

Inputs
646366562873259793/3000000000000000
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(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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (.f64 (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (.f64 (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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(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))))))

Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)) (.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))
(+.f64 (fma.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3) (.f64 6764801184542762983/90000000000000000 z)) (fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) 646366562873259793/3000000000000000))
(/.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 z z)) (/.f64 121443148578839881/200000000000000 z)))
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(/.f64 -121443148578839881/200000000000000 z)
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.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)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))

localize304.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
✓	1.0b	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

Compiler

Compiled 668 to 560 computations (16.2% saved)

series40.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	z	@	0	(+.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)))
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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms	z	@	0	(+.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

646×	`add-sqr-sqrt`
616×	`add-exp-log`
616×	`add-cbrt-cube`
616×	`add-log-exp`
616×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	629	111

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Inputs

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

(+.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)))

Outputs
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Outputs

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simplify166.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1170×	`+-commutative`
760×	`associate-*r/`
758×	`associate-+r+`
726×	`associate-+l+`
712×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	554	11531
1	1518	10913
2	5232	10825

Stop Event

1×	node limit

Counts

159 → 272

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))))))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
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(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (-.f64 4 z)) (-.f64 5 z))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) 1)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) 2501468655737381/200000000000000)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 5 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 5 z)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) -2501468655737381/200000000000000)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (.f64 (-.f64 5 z) 200000000000000/2501468655737381)) (-.f64 4 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 5 z))) (.f64 (-.f64 4 z) -2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (.f64 (-.f64 5 z) 200000000000000/2501468655737381)) (.f64 (neg.f64 (-.f64 4 z)) 1)) (.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (-.f64 5 z)) (.f64 (neg.f64 (-.f64 4 z)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 5 z)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (neg.f64 (-.f64 5 z))) (.f64 (neg.f64 (-.f64 4 z)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) 1)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (-.f64 4 z) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) -883075145810703/5000000000000)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (-.f64 4 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 4 z)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) 883075145810703/5000000000000)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (-.f64 5 z)) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 4 z))) (.f64 (-.f64 5 z) 883075145810703/5000000000000)) (*.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (.f64 (neg.f64 (-.f64 5 z)) 1)) (.f64 (neg.f64 (-.f64 5 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (-.f64 4 z)) (.f64 (neg.f64 (-.f64 5 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 4 z)))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 4 z))) (.f64 (neg.f64 (-.f64 5 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (neg.f64 (-.f64 4 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
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(+.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))))))
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(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000))
(fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 (.f64 z z) 295755570232608827/540000000000000)))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (.f64 z (.f64 z 295755570232608827/540000000000000)))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000))))
(+.f64 (fma.f64 z 40269435042492127/90000000000000 4560878540298521/15000000000000) (fma.f64 (pow.f64 z 3) 1967803238479727281/3240000000000000 (.f64 z (.f64 z 295755570232608827/540000000000000))))
(/.f64 -943522900885677/5000000000000 z)
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(-.f64 (/.f64 -943522900885677/5000000000000 z) (-.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
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(-.f64 (/.f64 -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)))))
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(/.f64 -943522900885677/5000000000000 z)
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(-.f64 (/.f64 -943522900885677/5000000000000 z) (-.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(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 -943522900885677/5000000000000 z) (-.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)))) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 -41652288634797769/1000000000000000)
(-.f64 (+.f64 (.f64 -105381455914863113/10000000000000000 z) (.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -105381455914863113/10000000000000000 z (.f64 (.f64 z z) -531910216885790327/200000000000000000)) -41652288634797769/1000000000000000)
(fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000))
(-.f64 (+.f64 (.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(+.f64 (fma.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3) (fma.f64 -105381455914863113/10000000000000000 z (.f64 (.f64 z z) -531910216885790327/200000000000000000))) -41652288634797769/1000000000000000)
(fma.f64 (pow.f64 z 3) -2679562833674850683/4000000000000000000 (fma.f64 z -105381455914863113/10000000000000000 (fma.f64 (*.f64 z z) -531910216885790327/200000000000000000 -41652288634797769/1000000000000000)))
(/.f64 32821537176690739/200000000000000 z)
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(+.f64 (/.f64 (/.f64 5151387202041023/8000000000000 z) z) (/.f64 32821537176690739/200000000000000 z))
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(+.f64 (/.f64 5151387202041023/8000000000000 (*.f64 z z)) (+.f64 (/.f64 32821537176690739/200000000000000 z) (/.f64 100526275385083079/40000000000000 (pow.f64 z 3))))
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(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) 1) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (fma.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3))) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (/.f64 2208984797906190952107506988843/1000000000000000000000000000 (-.f64 4 z))) (-.f64 5 z))))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
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(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (-.f64 4 z)) (-.f64 5 z))
(.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) 1)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (-.f64 4 z)) (.f64 -1000000000000000000000000000/2208984797906190952107506988843 (-.f64 5 z)))
(/.f64 (+.f64 (-.f64 5 z) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) 2501468655737381/200000000000000)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 5 z)))
(/.f64 (+.f64 (-.f64 5 z) (.f64 (-.f64 4 z) -2501468655737381/35323005832428120)) (.f64 (-.f64 4 z) (*.f64 -5000000000000/883075145810703 (-.f64 5 z))))
(/.f64 (fma.f64 (-.f64 4 z) -2501468655737381/35323005832428120 (-.f64 5 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (neg.f64 (-.f64 5 z)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) -2501468655737381/200000000000000)) (.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 5 z))))
(/.f64 (+.f64 (neg.f64 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/35323005832428120)) (.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 5 z))))
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/35323005832428120 (+.f64 -5 z)) (.f64 (-.f64 5 z) (.f64 (+.f64 -4 z) -5000000000000/883075145810703)))
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/35323005832428120 (+.f64 z -5)) (.f64 (-.f64 5 z) (.f64 (+.f64 z -4) -5000000000000/883075145810703)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (.f64 (-.f64 5 z) 200000000000000/2501468655737381)) (-.f64 4 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (-.f64 4 z) (.f64 (-.f64 5 z) -35323005832428120/2501468655737381)) (.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) 200000000000000/2501468655737381))
(/.f64 (fma.f64 (-.f64 5 z) -35323005832428120/2501468655737381 (-.f64 4 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 5 z))) (.f64 (-.f64 4 z) -2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 5 z))))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (neg.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 -5 z) (.f64 2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (+.f64 -5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 z -5) (.f64 2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (+.f64 z -5)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (.f64 (-.f64 5 z) 200000000000000/2501468655737381)) (.f64 (neg.f64 (-.f64 4 z)) 1)) (.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (neg.f64 (-.f64 4 z)) (.f64 (-.f64 5 z) 35323005832428120/2501468655737381)) (.f64 (-.f64 5 z) (*.f64 200000000000000/2501468655737381 (neg.f64 (-.f64 4 z)))))
(/.f64 (fma.f64 (-.f64 5 z) 35323005832428120/2501468655737381 (+.f64 -4 z)) (.f64 (-.f64 5 z) (.f64 200000000000000/2501468655737381 (+.f64 -4 z))))
(/.f64 (fma.f64 (-.f64 5 z) 35323005832428120/2501468655737381 (+.f64 z -4)) (.f64 (-.f64 5 z) (.f64 200000000000000/2501468655737381 (+.f64 z -4))))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (-.f64 5 z)) (.f64 (neg.f64 (-.f64 4 z)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 5 z)))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (neg.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 -5 z) (.f64 2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (+.f64 -5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 z -5) (.f64 2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (+.f64 z -5)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (neg.f64 (-.f64 5 z))) (.f64 (neg.f64 (-.f64 4 z)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 5 z))))
(.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (+.f64 (.f64 (-.f64 4 z) -5000000000000/883075145810703) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) 1)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (/.f64 (fma.f64 (-.f64 5 z) 200000000000000/2501468655737381 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (-.f64 4 z)) (.f64 -1000000000000000000000000000/2208984797906190952107506988843 (-.f64 5 z)))
(/.f64 (+.f64 (-.f64 4 z) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) -883075145810703/5000000000000)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (-.f64 4 z)))
(/.f64 (+.f64 (-.f64 4 z) (.f64 (-.f64 5 z) -35323005832428120/2501468655737381)) (.f64 (*.f64 (-.f64 4 z) (-.f64 5 z)) 200000000000000/2501468655737381))
(/.f64 (fma.f64 (-.f64 5 z) -35323005832428120/2501468655737381 (-.f64 4 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) 200000000000000/2501468655737381)))
(/.f64 (+.f64 (neg.f64 (-.f64 4 z)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) 883075145810703/5000000000000)) (.f64 (.f64 (-.f64 5 z) 200000000000000/2501468655737381) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (neg.f64 (-.f64 4 z)) (.f64 (-.f64 5 z) 35323005832428120/2501468655737381)) (.f64 (-.f64 5 z) (*.f64 200000000000000/2501468655737381 (neg.f64 (-.f64 4 z)))))
(/.f64 (fma.f64 (-.f64 5 z) 35323005832428120/2501468655737381 (+.f64 -4 z)) (.f64 (-.f64 5 z) (.f64 200000000000000/2501468655737381 (+.f64 -4 z))))
(/.f64 (fma.f64 (-.f64 5 z) 35323005832428120/2501468655737381 (+.f64 z -4)) (.f64 (-.f64 5 z) (.f64 200000000000000/2501468655737381 (+.f64 z -4))))
(/.f64 (+.f64 (.f64 2501468655737381/200000000000000 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (-.f64 5 z)) (.f64 (-.f64 5 z) (.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (-.f64 5 z) (.f64 (-.f64 4 z) -2501468655737381/35323005832428120)) (.f64 (-.f64 4 z) (*.f64 -5000000000000/883075145810703 (-.f64 5 z))))
(/.f64 (fma.f64 (-.f64 4 z) -2501468655737381/35323005832428120 (-.f64 5 z)) (.f64 (-.f64 4 z) (.f64 (-.f64 5 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 4 z))) (.f64 (-.f64 5 z) 883075145810703/5000000000000)) (*.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (neg.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 -5 z) (.f64 2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (+.f64 -5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 z -5) (.f64 2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (+.f64 z -5)))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (.f64 (-.f64 4 z) -5000000000000/883075145810703)) (.f64 (neg.f64 (-.f64 5 z)) 1)) (.f64 (neg.f64 (-.f64 5 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (neg.f64 (-.f64 5 z)) (.f64 (-.f64 4 z) 2501468655737381/35323005832428120)) (.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 5 z))))
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/35323005832428120 (+.f64 -5 z)) (.f64 (-.f64 5 z) (.f64 (+.f64 -4 z) -5000000000000/883075145810703)))
(/.f64 (fma.f64 (-.f64 4 z) 2501468655737381/35323005832428120 (+.f64 z -5)) (.f64 (-.f64 5 z) (.f64 (+.f64 z -4) -5000000000000/883075145810703)))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (-.f64 4 z)) (.f64 (neg.f64 (-.f64 5 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (-.f64 4 z)))
(/.f64 (fma.f64 -2501468655737381/200000000000000 (-.f64 4 z) (neg.f64 (.f64 -883075145810703/5000000000000 (-.f64 5 z)))) (.f64 (-.f64 5 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 -5 z) (.f64 2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (+.f64 -5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (+.f64 z -5) (.f64 2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (+.f64 z -5)))
(/.f64 (+.f64 (.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 4 z))) (.f64 (neg.f64 (-.f64 5 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 5 z)) (neg.f64 (-.f64 4 z))))
(.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (/.f64 1 (*.f64 (-.f64 4 z) (-.f64 5 z))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 -4 z))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 5 z) (.f64 -2501468655737381/200000000000000 (+.f64 z -4))) (.f64 (-.f64 4 z) (-.f64 5 z)))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(log.f64 (exp.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)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3))
(expm1.f64 (log1p.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)))
(exp.f64 (log.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)))
(log1p.f64 (expm1.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)))

localize187.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 498 to 393 computations (21.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	153
1	825	153

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify106.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

75 → 129

Calls

Call 1

Inputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 28572848028348241/2500000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))))
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.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)))))
-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)
(/.f64 2053078212233992689/12500000000000000 z)
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(/.f64 2053078212233992689/12500000000000000 z)
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(+.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)))))
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(/.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
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(/.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))))
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(/.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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.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))))))

Outputs
4560878540298521/15000000000000
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(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
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(fma.f64 40269435042492127/90000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 4560878540298521/15000000000000))
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9151757080597036297/30000000000000000
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-6251307572601308353/150000000000000000
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

localize247.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	4.2b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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)
0.0ms	z	@	-inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
0.0ms	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`add-sqr-sqrt`
596×	`add-cbrt-cube`
596×	`add-cube-cbrt`
594×	`add-exp-log`
592×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	99
1	647	91

Stop Event

1×	node limit

Counts

3 → 122

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)))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (/.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 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simplify143.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

938×	`associate-*r/`
792×	`associate-*l/`
664×	`associate--r+`
664×	`associate-+l-`
642×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	491	9388
1	1434	8094
2	5007	7998

Stop Event

1×	node limit

Counts

158 → 254

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 1 z))
(-.f64 (-.f64 1 z) 1)
(-.f64 (neg.f64 z) 0)
(-.f64 0 z)
(-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (-.f64 1 z))) (/.f64 1 (+.f64 1 (-.f64 1 z))))
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (neg.f64 z) 1)
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (pow.f64 (neg.f64 z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 z) 2)) (cbrt.f64 (neg.f64 z)))
(.f64 (cbrt.f64 (.f64 z z)) (neg.f64 (cbrt.f64 z)))
(*.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (/.f64 1 (+.f64 1 (-.f64 1 z))))
(*.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) -1)) (neg.f64 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 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (neg.f64 (cbrt.f64 (.f64 z z))) (cbrt.f64 z))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))
(*.f64 (pow.f64 (neg.f64 z) 1/2) (pow.f64 (neg.f64 z) 1/2))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 1 z)) (+.f64 (pow.f64 (-.f64 1 z) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z)))) (+.f64 -1 (pow.f64 (-.f64 1 z) 3))))
(/.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 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 z) 2) (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 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) -1)) (+.f64 (neg.f64 (-.f64 1 z)) -1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))
(/.f64 (-.f64 1 (*.f64 (+.f64 1 z) (+.f64 1 z))) (+.f64 1 (+.f64 1 z)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 z) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 1 z) (+.f64 1 z)) (+.f64 1 z))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z))))))
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(cbrt.f64 (*.f64 (neg.f64 z) (pow.f64 (neg.f64 z) 2)))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(-.f64 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (/.f64 (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 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))))))
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(/.f64 1 (/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3))))
(/.f64 1 (/.f64 (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)) (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.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 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.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 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.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) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 (+.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) 1)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) 883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (+.f64 (-.f64 1 z) 2)) (.f64 (+.f64 (-.f64 1 z) 2) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3)) (.f64 (+.f64 (-.f64 1 z) 2) 883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) 1)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000))))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) -883075145810703/5000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) 883075145810703/5000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (+.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 1)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 2) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (+.f64 (neg.f64 (-.f64 1 z)) -2) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) -7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/883075145810703 (/.f64 (+.f64 z -3) -883075145810703/5000000000000)) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))) (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (-.f64 1 z) 3) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (.f64 -883075145810703/5000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -2)) (.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) 1)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000))))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (.f64 883075145810703/5000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -2)) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (neg.f64 (-.f64 1 z)) -2)))
(/.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3))) (neg.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))))
(/.f64 (neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000))) (neg.f64 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))
(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 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) 9999999999998099/10000000000000000)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) 9999999999998099/10000000000000000)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
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 12777243138120953/60000000000000 (fma.f64 (.f64 z z) 222980468271960011/8640000000000000 (.f64 z 53758197989915921/720000000000000)))
(+.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 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 (.f64 z z) 222980468271960011/8640000000000000 (.f64 z 53758197989915921/720000000000000))))
(/.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))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 -41160703924046283/10000000000000 (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)))))))
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(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (/.f64 6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))
(/.f64 (neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000))) (neg.f64 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))
(.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 3 (-.f64 1 z)) (.f64 (+.f64 2 (-.f64 1 z)) -883075145810703/5000000000000)) (/.f64 1 (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 3 (-.f64 1 z)))))
(/.f64 (fma.f64 (-.f64 3 z) -883075145810703/5000000000000 (.f64 7713234287776531/10000000000000 (-.f64 4 z))) (.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (/.f64 (fma.f64 (-.f64 3 z) 883075145810703/5000000000000 (*.f64 7713234287776531/10000000000000 (+.f64 -4 z))) (+.f64 z -3)) (-.f64 4 z))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

eval2.0s (2.6%)

Compiler: Compiled 83858 to 67160 computations (19.9% saved)

prune319.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	820	11	831
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	823	12	835

Error

0.3b

Counts

835 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
✓	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.5b	(.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))))))))
▶	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000) (+.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))))))))
▶	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.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)))))))

Compiler

Compiled 1681 to 1395 computations (17% saved)

localize149.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 391 to 305 computations (22% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
3.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))

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 40269435042492127/90000000000000 z)))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

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simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 69

Calls

Call 1

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

localize135.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 350 to 271 computations (22.6% saved)

series7.0ms (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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0ms	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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0ms	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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`add-sqr-sqrt`
1162×	`*-un-lft-identity`
1160×	`add-exp-log`
1160×	`add-log-exp`
1158×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	196
1	1206	196

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x /.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 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))

simplify133.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-*r/`
1230×	`associate-/l*`
1110×	`associate-*l/`
1100×	`associate-+r+`
956×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	5577
1	828	4909
2	3431	4895

Stop Event

1×	node limit

Counts

41 → 73

Calls

Call 1

Inputs
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(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
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(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (sin.f64 (.f64 (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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))))) 1)
(log.f64 (exp.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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(cbrt.f64 (.f64 (.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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))))))
(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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))))))
(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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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))))))))))))
(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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.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) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

Outputs
(.f64 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) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.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 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) -7438431377385067353648047161/705600000000000000000000000)))))
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(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 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize203.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 361 to 282 computations (21.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (0.1%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (*.f64 z (+.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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))

localize226.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 390 to 304 computations (22.1% saved)

localize243.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)

Compiler

Compiled 463 to 386 computations (16.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

0.0ms

inf

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

rewrite117.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`add-sqr-sqrt`
844×	`add-exp-log`
844×	`add-cbrt-cube`
844×	`add-log-exp`
844×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	122
1	864	122

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 9151757080597036297/30000000000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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)))))) (sqrt.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 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simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1656×	`associate--l+`
1104×	`associate-r`
926×	`associate-+r-`
898×	`associate-l`
734×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	2192
1	262	1716
2	1229	1502
3	5096	1502

Stop Event

1×	node limit

Counts

24 → 45

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z))
(+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 -7438431377385067353648047161/705600000000000000000000000 z)))
(+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))))
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)) (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
9151757080597036297/30000000000000000
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(/.f64 (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.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 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (-.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))
(pow.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z))
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 -7438431377385067353648047161/705600000000000000000000000 z)))
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -315341357520700009111955479981/118540800000000000000000000000) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))))
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))))
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9151757080597036297/30000000000000000
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9151757080597036297/30000000000000000
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(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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 9151757080597036297/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.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 9151757080597036297/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 3464277381643003/25000000000000000 (+.f64 z -6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

eval1.5s (2%)

Compiler: Compiled 52101 to 39895 computations (23.4% saved)

prune360.0ms (0.5%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	706	19	725
Fresh	4	2	6
Picked	1	0	1
Done	3	2	5
Total	714	23	737

Error

0.0b

Counts

737 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.1b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	1.7b	(.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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.3b	(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
	0.9b	(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	1.3b	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
▶	0.6b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	1.2b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) -7438431377385067353648047161/705600000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
▶	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	1.1b	(.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 2078 to 1750 computations (15.8% saved)

localize107.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))
✓	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)

Compiler

Compiled 185 to 177 computations (4.3% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite113.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`associate-*r/`
822×	`distribute-lft-in`
638×	`associate-*l/`
472×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	102
1	484	102
2	5501	102

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(sqrt.f64 (PI.f64))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 54901901787731453525296637639/78400000000000000000000000) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) 1)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))))) (.f64 1 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2))) (.f64 1 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15))))) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) 3))) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 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(log.f64 2/15)))))) (-.f64 (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 2 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 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54901901787731453525296637639/78400000000000000000000000))))))))))

simplify159.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1334×	`distribute-lft-in`
1324×	`distribute-rgt-in`
1088×	`unswap-sqr`
550×	`fma-def`
360×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2981
1	503	2873
2	1791	2385
3	7964	2385

Stop Event

1×	node limit

Counts

77 → 95

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 54901901787731453525296637639/78400000000000000000000000) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(exp.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(-.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 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.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 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))))
(+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2)) (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2)))
(+.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) 1)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 (.f64 1 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))))) (.f64 1 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))
(+.f64 (.f64 1 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (sqrt.f64 2))) (.f64 1 (.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))) 1)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15))))) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) 3))) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (-.f64 (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15)))) (sqrt.f64 2)) (-.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) 3)) (sqrt.f64 2)) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))))) (-.f64 (.f64 15/2 (.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))) 3) 1/3)
(sqrt.f64 (.f64 2 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))) 3))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))) 3) (.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))) 1)
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 1)
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 2)
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) 3)
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3) 1/3)
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(sqrt.f64 (*.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 54901901787731453525296637639/78400000000000000000000000) (exp.f64 -15/2)))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) 3))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(exp.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 54901901787731453525296637639/78400000000000000000000000)) 1))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (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 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
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(exp.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 2) (fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))) 1106209385320415913103082059/4200000000000000000000000))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))) 1))
(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 2) (fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))) 1106209385320415913103082059/4200000000000000000000000))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15)))) (.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 2) (fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (*.f64 (sqrt.f64 15/2) (+.f64 -1/15 (log.f64 2/15))) 1106209385320415913103082059/4200000000000000000000000))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)))

localize258.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 z -15/2))
✓	0.4b	(.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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 338 to 273 computations (19.2% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.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 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))))))))
2.0ms	z	@	-inf	(.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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0ms	z	@	inf	(.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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	0	(exp.f64 (+.f64 z -15/2))
0.0ms	z	@	-inf	(exp.f64 (+.f64 z -15/2))

rewrite93.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`add-sqr-sqrt`
1124×	`add-exp-log`
1124×	`add-cbrt-cube`
1124×	`add-log-exp`
1124×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	166
1	1178	166

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.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 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))))))))

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

Outputs

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

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

simplify133.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-/l*`
1128×	`associate-/r*`
948×	`associate-+r+`
926×	`associate-*r/`
900×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	4462
1	619	3918
2	2713	3904

Stop Event

1×	node limit

Counts

40 → 74

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 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (*.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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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)))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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 (pow.f64 z 2) (+.f64 (.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (+.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))))) (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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 (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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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)))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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 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)))) z) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 4029717223322681009147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9151757080597036297/30000000000000000 (.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 4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))))
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(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(/.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 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))))))) z)
(pow.f64 (/.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 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))))))) z) 1)
(log.f64 (exp.f64 (/.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 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))))))) z)))
(cbrt.f64 (.f64 (.f64 (/.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 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))))))) z) (/.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 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))))))) z)) (/.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 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))))))) z)))
(expm1.f64 (log1p.f64 (/.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 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))))))) z)))
(exp.f64 (log.f64 (/.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 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))))))) z)))
(log1p.f64 (expm1.f64 (/.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 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))))))) z)))
(*.f64 1 (exp.f64 (+.f64 z -15/2)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 z) (exp.f64 -15/2))
(pow.f64 (exp.f64 (+.f64 z -15/2)) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 z -15/2))))

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 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 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) -7438431377385067353648047161/705600000000000000000000000)) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) -7438431377385067353648047161/705600000000000000000000000))))))
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(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(pow.f64 (/.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 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))))))) z) 1)
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log.f64 (exp.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (/.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 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))))))) z) (/.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 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))))))) z)) (/.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 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))))))) z)))
(cbrt.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 3))
(expm1.f64 (log1p.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 1 (exp.f64 (+.f64 z -15/2)))
(exp.f64 (+.f64 -15/2 z))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 -15/2 z))
(.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (cbrt.f64 (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 -15/2 z))
(*.f64 (exp.f64 z) (exp.f64 -15/2))
(exp.f64 (+.f64 -15/2 z))
(pow.f64 (exp.f64 (+.f64 z -15/2)) 1)
(exp.f64 (+.f64 -15/2 z))
(log.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 -15/2 z))
(cbrt.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (exp.f64 (+.f64 z -15/2))) (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (exp.f64 (+.f64 (+.f64 -15/2 z) (+.f64 -15/2 z)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 -15/2 z))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 z -15/2))))
(exp.f64 (+.f64 -15/2 z))

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 57 computations (13.6% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
1.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
0.0ms	z	@	0	(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)

rewrite144.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*l/`
374×	`add-sqr-sqrt`
356×	`pow1`
356×	`*-un-lft-identity`
346×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	80
1	384	72
2	4612	72

Stop Event

1×	node limit

Counts

2 → 112

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

Outputs

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

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-/r/`
1382×	`associate-/r*`
1082×	`unswap-sqr`
546×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	4372
1	773	4206
2	2999	4206

Stop Event

1×	node limit

Counts

112 → 184

Calls

Call 1

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

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

localize135.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.5b	(*.f64 -9487795309719323173/900000000000000000 z)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 267 to 201 computations (24.7% saved)

series13.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
3.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	-inf	(*.f64 -9487795309719323173/900000000000000000 z)
0.0ms	z	@	inf	(*.f64 -9487795309719323173/900000000000000000 z)

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`add-sqr-sqrt`
980×	`*-un-lft-identity`
978×	`pow1`
974×	`add-exp-log`
974×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	1018	150

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

Inputs

(*.f64 -9487795309719323173/900000000000000000 z)

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 -9487795309719323173/900000000000000000 z) (*.f64 -9487795309719323173/900000000000000000 z)) (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x /.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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))))

simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1126×	`times-frac`
1034×	`associate-*r/`
936×	`associate-/l*`
890×	`associate-*l/`
702×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	4469
1	685	3977
2	2654	3821

Stop Event

1×	node limit

Counts

25 → 58

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (-.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 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) 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)))))
(+.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 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) 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 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 1031437005281937915679/245862400000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(.f64 131068851705067315609/300000000000000000 (.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 131068851705067315609/300000000000000000 (.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 131068851705067315609/300000000000000000 (.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 -9487795309719323173/900000000000000000 z) 1)
(log.f64 (exp.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(cbrt.f64 (.f64 (.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -9487795309719323173/900000000000000000 z)) (*.f64 -9487795309719323173/900000000000000000 z)))
(expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(/.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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (.f64 z (PI.f64))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (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 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))))
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(.f64 (.f64 (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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.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 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (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 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 -15/2 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

localize229.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 386 to 301 computations (22% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite135.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

Inputs

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

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

Outputs

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simplify153.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 232

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
9999999999998099/10000000000000000
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28038845331433078297/30000000000000000
(+.f64 28038845331433078297/30000000000000000 (*.f64 6860006741874619/9000000000000 z))
(+.f64 (.f64 47593433420171377/67500000000000 (pow.f64 z 2)) (+.f64 28038845331433078297/30000000000000000 (.f64 6860006741874619/9000000000000 z)))
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9999999999998099/10000000000000000
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(sqrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000)
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Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))))
(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 z (.f64 z 295755570232608827/540000000000000))))
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(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 -9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 99999999999961980000000003613801/100000000000000000000000000000000))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
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(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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eval1.1s (1.5%)

Compiler: Compiled 47220 to 37469 computations (20.7% saved)

prune366.0ms (0.5%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	844	29	873
Fresh	10	6	16
Picked	0	1	1
Done	2	4	6
Total	856	40	896

Error

0.0b

Counts

896 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))))
	2.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
	2.1b	(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))) z)
	2.0b	(/.f64 (.f64 (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))
▶	2.1b	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
	1.1b	(/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
	1.2b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.3b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
▶	1.5b	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	1.6b	(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.1b	(.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
✓	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 z)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.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 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	1.1b	(.f64 (/.f64 1 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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.3b	(.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 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.7b	(.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 9151757080597036297/30000000000000000 (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.3b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	2.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
	2.1b	(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) 1106209385320415913103082059/4200000000000000000000000))
▶	0.6b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
✓	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	2.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	2.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)) (neg.f64 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64))))
	50.8b	(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
	50.8b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
	50.8b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
▶	50.8b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

Compiler

Compiled 2702 to 2289 computations (15.3% saved)

localize105.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000))
✓	1.0b	(.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.6b	(+.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)

Compiler

Compiled 159 to 151 computations (5% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite185.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`associate-*r/`
1328×	`associate-*l/`
416×	`add-sqr-sqrt`
394×	`add-exp-log`
392×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	107
1	427	107
2	5051	101

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

Inputs

(+.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)

(*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000)))

(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 -1043209385320415913103082059/63000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))))) -54823501787731453525296637639/78400000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)) (/.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 54901901787731453525296637639/78400000000000000000000000 (exp.f64 (log.f64 (+.f64 -1043209385320415913103082059/63000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) (sqrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) 2) (cbrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 165486345617414709084719373627226704172122322393996672592673239193684780063024783348119/481890304000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3))) (/.f64 1 (+.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (-.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 60732999029528254741786182424626171928380735400605018701/329280000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000) (+.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 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54901901787731453525296637639/78400000000000000000000000)))))))

simplify346.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-r`
1052×	`associate-l`
888×	`associate-/r/`
722×	`distribute-rgt-neg-in`
712×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	13936
1	1181	12270
2	5201	11730

Stop Event

1×	node limit

Counts

178 → 266

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 -1043209385320415913103082059/63000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))))) -54823501787731453525296637639/78400000000000000000000000)
(-.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)) (/.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)))
(-.f64 (+.f64 54901901787731453525296637639/78400000000000000000000000 (exp.f64 (log.f64 (+.f64 -1043209385320415913103082059/63000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)))))) 1)
(.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 1)
(.f64 1 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000))
(.f64 (sqrt.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) (sqrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)))
(.f64 (cbrt.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) 2))
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(/.f64 1 (/.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000) (+.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000)))
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(/.f64 (-.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2))) (-.f64 2532533306025858699772121289059/3528000000000000000000000000 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))))
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(/.f64 (.f64 1 (-.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)))) (-.f64 2532533306025858699772121289059/3528000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)))
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(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) (sqrt.f64 (+.f64 165486345617414709084719373627226704172122322393996672592673239193684780063024783348119/481890304000000000000000000000000000000000000000000000000000000000000000000000 (.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 3))))) (sqrt.f64 (+.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) (-.f64 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000 (*.f64 (+.f64 -1/15 (log.f64 2/15)) 60732999029528254741786182424626171928380735400605018701/329280000000000000000000000000000000000000000000000)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)) 2) (cbrt.f64 (+.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)) -3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000))) (cbrt.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) -2532533306025858699772121289059/3528000000000000000000000000)))
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Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000))) 1)
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000)
(-.f64 (exp.f64 (log.f64 (+.f64 -1043209385320415913103082059/63000000000000000000000000 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))))) -54823501787731453525296637639/78400000000000000000000000)
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(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 (fma.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 2) 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000) (.f64 (+.f64 (log.f64 2/15) -1/15) 60732999029528254741786182424626171928380735400605018701/329280000000000000000000000000000000000000000000000))) (+.f64 165486345617414709084719373627226704172122322393996672592673239193684780063024783348119/481890304000000000000000000000000000000000000000000000000000000000000000000000 (.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 3))))
(.f64 (fma.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 3) 165486345617414709084719373627226704172122322393996672592673239193684780063024783348119/481890304000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 (sqrt.f64 15/2) (/.f64 (+.f64 (fma.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 2) 3014218819909710172584716863655080000704476448838871494321/6146560000000000000000000000000000000000000000000000) (.f64 (+.f64 (log.f64 2/15) -1/15) -60732999029528254741786182424626171928380735400605018701/329280000000000000000000000000000000000000000000000)) (exp.f64 -15/2))))
(.f64 (fma.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 3) 165486345617414709084719373627226704172122322393996672592673239193684780063024783348119/481890304000000000000000000000000000000000000000000000000000000000000000000000) (.f64 (/.f64 (exp.f64 -15/2) (fma.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (log.f64 2/15) -1/15) 2) (-.f64 139040894841590540031852285080257665659690761380183098291701/276595200000000000000000000000000000000000000000000000 (*.f64 60732999029528254741786182424626171928380735400605018701/329280000000000000000000000000000000000000000000000 (log.f64 2/15))))) (sqrt.f64 15/2)))
(pow.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1)
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 2)
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 3)
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(pow.f64 (pow.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3) 1/3)
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(sqrt.f64 (.f64 (.f64 15/2 (exp.f64 -15)) (pow.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 2)))
(sqrt.f64 (.f64 (pow.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) 2) (.f64 15/2 (exp.f64 -15))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000)))
(*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (sqrt.f64 15/2) (log.f64 (exp.f64 (exp.f64 -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 3) (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3)))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) (pow.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 3)))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(exp.f64 (+.f64 -15/2 (log.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (sqrt.f64 15/2)))))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(exp.f64 (.f64 (+.f64 -15/2 (log.f64 (.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (sqrt.f64 15/2)))) 1))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 (+.f64 -1106209385320415913103082059/63000000000000000000000000 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 -1106209385320415913103082059/63000000000000000000000000 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)))
(fma.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (+.f64 (log.f64 2/15) -1/15) 1106209385320415913103082059/4200000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15) 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)
✓	0.2b	(.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
✓	0.2b	(*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z))
✓	30.9b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

Compiler

Compiled 58 to 45 computations (22.4% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
1.0ms	z	@	0	(*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z))
1.0ms	z	@	inf	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
1.0ms	z	@	0	(.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
0.0ms	z	@	inf	(.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))

rewrite132.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/r*`
1066×	`associate-/l*`
324×	`add-sqr-sqrt`
312×	`pow1`
312×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	130
1	335	128
2	4111	128

Stop Event

1×	node limit

Counts

4 → 286

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 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1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))))))

simplify177.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-/l*`
970×	`distribute-lft-in`
936×	`associate-/r*`
820×	`associate-/r/`
738×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	10214
1	1824	10100
2	6694	10100

Stop Event

1×	node limit

Counts

334 → 375

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 15 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))) 1)
(.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) 1)
(.f64 1 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1/4) (pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))) 1/4))
(.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))))) (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))) (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))))) 2)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (pow.f64 1 1/2) (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))) 1/2))
(.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15)))) 1/2) (pow.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 1/2))
(pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1/2)
(pow.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1/4) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 3/2) 1/3)
(fabs.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 3/2))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 15 (/.f64 (exp.f64 -15) (.f64 z z))))) 1)
(/.f64 15 (/.f64 z (/.f64 (exp.f64 -15) z)))
(/.f64 15 (*.f64 z (/.f64 z (exp.f64 -15))))
(/.f64 15 (/.f64 (*.f64 z (neg.f64 z)) (neg.f64 (exp.f64 -15))))
(/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15)))
(/.f64 -15 (*.f64 (neg.f64 z) (/.f64 z (exp.f64 -15))))
(/.f64 -15 (*.f64 (/.f64 z (exp.f64 -15)) (neg.f64 z)))
(/.f64 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.f64 -1 z)))
(/.f64 -15 (/.f64 (*.f64 (neg.f64 z) z) (exp.f64 -15)))
(/.f64 -15 (/.f64 (neg.f64 z) (/.f64 (exp.f64 -15) z)))
(/.f64 -15 (/.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 (exp.f64 -15))))
(/.f64 (exp.f64 -15) (.f64 z (.f64 z 1/15)))
(/.f64 (exp.f64 -15) (.f64 (.f64 z 1/15) z))
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15))
(/.f64 (exp.f64 -15) (/.f64 z (/.f64 15 z)))
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z 1/15) (/.f64 1 z)))
(/.f64 (exp.f64 -15) (/.f64 (.f64 z (.f64 z 1/15)) 1))
(/.f64 (exp.f64 -15) (/.f64 (.f64 (.f64 z 1/15) z) 1))
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z (neg.f64 z)) -15))
(/.f64 (/.f64 (exp.f64 -15) z) (*.f64 z 1/15))
(/.f64 (.f64 15 (/.f64 (exp.f64 -15) (.f64 z z))) 1)
(/.f64 1 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))
(/.f64 1 (/.f64 (.f64 z (.f64 z 1/15)) (exp.f64 -15)))
(/.f64 1 (/.f64 (.f64 (.f64 z 1/15) z) (exp.f64 -15)))
(/.f64 1 (/.f64 (.f64 (.f64 z 1/15) (neg.f64 z)) (neg.f64 (exp.f64 -15))))
(/.f64 (sqrt.f64 (/.f64 (exp.f64 -15) z)) (/.f64 (*.f64 z 1/15) (sqrt.f64 (/.f64 (exp.f64 -15) z))))
(/.f64 (sqrt.f64 (/.f64 15 z)) (/.f64 (/.f64 z (exp.f64 -15)) (sqrt.f64 (/.f64 15 z))))
(/.f64 (sqrt.f64 (/.f64 15 z)) (/.f64 z (*.f64 (sqrt.f64 (/.f64 15 z)) (exp.f64 -15))))
(/.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 (.f64 z (.f64 z 1/15)) (sqrt.f64 (exp.f64 -15))))
(/.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 (.f64 (.f64 z 1/15) z) (sqrt.f64 (exp.f64 -15))))
(/.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 (.f64 z 1/15) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 1 z))))
(/.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 (.f64 (.f64 z 1/15) (neg.f64 z)) (neg.f64 (sqrt.f64 (exp.f64 -15)))))
(/.f64 (sqrt.f64 (exp.f64 -15)) (.f64 (.f64 z 1/15) (/.f64 z (sqrt.f64 (exp.f64 -15)))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 -15) z)) (/.f64 (*.f64 z 1/15) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -15) z)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -15) z)) 2) (/.f64 (*.f64 z 1/15) (cbrt.f64 (/.f64 (exp.f64 -15) z))))
(/.f64 (cbrt.f64 (/.f64 15 z)) (/.f64 (/.f64 z (exp.f64 -15)) (cbrt.f64 (/.f64 (/.f64 225 z) z))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 225 z) z)) (/.f64 (/.f64 z (exp.f64 -15)) (cbrt.f64 (/.f64 15 z))))
(/.f64 (cbrt.f64 (/.f64 (/.f64 225 z) z)) (/.f64 z (*.f64 (cbrt.f64 (/.f64 15 z)) (exp.f64 -15))))
(/.f64 (cbrt.f64 (exp.f64 -15)) (/.f64 (.f64 z (.f64 z 1/15)) (cbrt.f64 (exp.f64 -30))))
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(/.f64 15 (/.f64 z (*.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
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(/.f64 (exp.f64 -15) (/.f64 (.f64 z 1/15) (.f64 (/.f64 1 z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(/.f64 (/.f64 (exp.f64 -15) z) (/.f64 (*.f64 z 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))
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(/.f64 1 (/.f64 (.f64 z 1/15) (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
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(/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z 1/15))) z)
(/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (*.f64 z z))
(/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) z)
(/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 z))
(/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) z)
(/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z z))
(/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (*.f64 z 1/15) z))
(/.f64 (.f64 (neg.f64 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (*.f64 z 1/15) (neg.f64 z)))
(/.f64 (/.f64 (*.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) z) 1/15)
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(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (cbrt.f64 (.f64 z 1/15)) (cbrt.f64 (.f64 z 1/15)))) (cbrt.f64 (*.f64 z 1/15)))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z 1/15))) 1) z)
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z 1/15))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z 1/15))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z 1/15))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) z) z)
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) 1) (*.f64 z z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (*.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (*.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 2))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 15 (exp.f64 -15))) (*.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) 1) z)
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) 1) (neg.f64 z))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) -1) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) 1) z)
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) z) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) 1) (*.f64 z z))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) z))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 2))) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 1)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) 2)
(pow.f64 (cbrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))) 3)
(pow.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 15 z)) (*.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))))
(cbrt.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))
(exp.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))
(exp.f64 (.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))

Outputs
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
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(neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
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(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) 1) (neg.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) -1) z)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 -15 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) 1) z)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (/.f64 (exp.f64 -15) (.f64 z 1/15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) z) z)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) 1) (*.f64 z z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (sqrt.f64 z)) (*.f64 (sqrt.f64 z) z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (*.f64 (cbrt.f64 z) z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z (sqrt.f64 z))) (sqrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 z) 2))) (pow.f64 (cbrt.f64 z) 2))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(/.f64 (/.f64 (.f64 (.f64 15 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 1)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) 1106209385320415913103082059/4200000000000000000000000) 2)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z) 1106209385320415913103082059/4200000000000000000000000) 2)
(.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z) 2))
(pow.f64 (cbrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))) 3)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(pow.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 3) 1/3)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(sqrt.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 2))
(sqrt.f64 (pow.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z))) 2))
(fabs.f64 (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z))
(log.f64 (pow.f64 (exp.f64 (/.f64 15 z)) (*.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(cbrt.f64 (pow.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))) 3))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(expm1.f64 (log1p.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(exp.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(exp.f64 (.f64 (log.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)
(log1p.f64 (expm1.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15))))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z z)))
(/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 z (exp.f64 15))) z)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 47 computations (14.5% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(/.f64 z (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))))
1.0ms	z	@	0	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
1.0ms	z	@	inf	(/.f64 z (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))))
1.0ms	z	@	inf	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
0.0ms	z	@	-inf	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))

rewrite121.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`swap-sqr`
844×	`associate-/r/`
492×	`associate-/l/`
442×	`distribute-lft-neg-in`
394×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	373	71
2	4632	71

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15/2 (exp.f64 -15)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 15/2 (exp.f64 -15))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 15/2 (exp.f64 -15)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 -30) 225/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 15/2 (exp.f64 -15)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15 (log.f64 15/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 15/2 (exp.f64 -15))))))))

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simplify159.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

934×	`distribute-rgt-in`
934×	`distribute-lft-in`
680×	`distribute-lft-neg-out`
634×	`*-commutative`
576×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	7694
1	1184	7514
2	4996	7514

Stop Event

1×	node limit

Counts

198 → 239

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)
(pow.f64 (*.f64 15/2 (exp.f64 -15)) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 2)
(pow.f64 (cbrt.f64 (*.f64 15/2 (exp.f64 -15))) 3)
(pow.f64 (pow.f64 (*.f64 15/2 (exp.f64 -15)) 3) 1/3)
(sqrt.f64 (*.f64 (exp.f64 -30) 225/4))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))
(cbrt.f64 (pow.f64 (*.f64 15/2 (exp.f64 -15)) 3))
(expm1.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15))))
(exp.f64 (+.f64 -15 (log.f64 15/2)))
(exp.f64 (*.f64 (+.f64 -15 (log.f64 15/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 15/2 (exp.f64 -15))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))))) 1)
(.f64 z (pow.f64 (.f64 (exp.f64 -15) 15) -1/2))
(.f64 z (neg.f64 (/.f64 -1 (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))) 1)
(.f64 1 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))) (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2)))
(.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))) (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15))))
(.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15))) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2)))
(.f64 (pow.f64 (.f64 (exp.f64 -15) 15) -1/2) z)
(.f64 (neg.f64 z) (/.f64 -1 (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(.f64 (sqrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15))))) (neg.f64 (sqrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))))
(.f64 (.f64 (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15))))) (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)))))) (neg.f64 (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))))
(.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 1 (pow.f64 (.f64 (exp.f64 -15) 15) 1/4)) (/.f64 z (pow.f64 (*.f64 (exp.f64 -15) 15) 1/4)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (exp.f64 -15) 15))) (/.f64 z (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 -1 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (neg.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))) (neg.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15)))) (neg.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))))
(.f64 (/.f64 -1 (sqrt.f64 (.f64 (exp.f64 -15) 15))) (neg.f64 z))
(.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (exp.f64 -15) 15))) (sqrt.f64 z))
(.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 2)) (/.f64 (sqrt.f64 z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (sqrt.f64 z) (cbrt.f64 (.f64 (exp.f64 -15) 15))) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 z) (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (.f64 (exp.f64 -15) 15) 1/4)) (/.f64 (cbrt.f64 z) (pow.f64 (*.f64 (exp.f64 -15) 15) 1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (.f64 (exp.f64 -15) 15))) (cbrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 1 (/.f64 1 z)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15))))) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (.f64 (exp.f64 -15) 15))) (cbrt.f64 z))
(.f64 (neg.f64 (sqrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)))))) (sqrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15))))) (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15))))))) (cbrt.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))) (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15))))) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))) 1)
(pow.f64 (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))) 3)
(pow.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) -1)
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(neg.f64 (/.f64 (/.f64 z (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))) 1))
(sqrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15)))
(log.f64 (exp.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))))))
(cbrt.f64 (pow.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))) 3))
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (*.f64 (exp.f64 -15) 15) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(exp.f64 (log.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(exp.f64 (.f64 (log.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))) 1))
(log1p.f64 (expm1.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))))) 1)
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))) 1)
(.f64 1 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) (cbrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15))))
(.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (cbrt.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 (PI.f64)) -1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) (neg.f64 z)))
(.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) 1) (sqrt.f64 (.f64 (exp.f64 -15) 15)))
(.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (sqrt.f64 2)) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (pow.f64 (.f64 (exp.f64 -15) 15) 1/4)) (pow.f64 (*.f64 (exp.f64 -15) 15) 1/4))
(.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (cbrt.f64 (.f64 (exp.f64 -15) 15))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(.f64 (/.f64 1 z) (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2)))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))) (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 z z) (.f64 (exp.f64 -15) 15)))) (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (cbrt.f64 (/.f64 z (sqrt.f64 (*.f64 (exp.f64 -15) 15))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) 1) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 z)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) (cbrt.f64 z)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))))
(.f64 (/.f64 1 (neg.f64 z)) (.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15))) 1106209385320415913103082059/4200000000000000000000000)
(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))))
(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) z) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (exp.f64 -15) 15))))
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(.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) -1106209385320415913103082059/4200000000000000000000000) -1) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))
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(pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) 3)
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(pow.f64 (.f64 4200000000000000000000000/1106209385320415913103082059 (/.f64 z (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (exp.f64 -15) 15))))) -1)
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Outputs
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
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(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
(*.f64 (sqrt.f64 (/.f64 1 (exp.f64 -15))) (/.f64 z (sqrt.f64 15)))
(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
(/.f64 (sqrt.f64 (exp.f64 15)) (/.f64 (sqrt.f64 15) z))
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(*.f64 (sqrt.f64 (exp.f64 15)) (/.f64 z (sqrt.f64 15)))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) 3)
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))) 3) 1/3)
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(pow.f64 (.f64 4200000000000000000000000/1106209385320415913103082059 (/.f64 z (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (exp.f64 -15) 15))))) -1)
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) (neg.f64 z))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)))) 1))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (.f64 1 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (neg.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))) -4200000000000000000000000/1106209385320415913103082059)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(neg.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) -1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(sqrt.f64 (.f64 (.f64 (exp.f64 -15) 15) (*.f64 (/.f64 (PI.f64) z) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (PI.f64) z) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z) (*.f64 (exp.f64 -15) 15))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z))) 3))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))) 3)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))) 1))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))

localize186.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
✓	0.5b	(/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))
✓	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 303 to 243 computations (19.8% saved)

series10.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
3.0ms	z	@	0	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.0ms	z	@	0	(/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))
1.0ms	z	@	inf	(/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))
1.0ms	z	@	inf	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

rewrite139.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1162×	`add-sqr-sqrt`
1100×	`add-exp-log`
1100×	`add-log-exp`
1098×	`add-cbrt-cube`
1098×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	272
1	1144	272

Stop Event

1×	node limit

Counts

4 → 39

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (PI.f64)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 2 (PI.f64)) (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 2 (PI.f64)))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 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simplify142.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-*r/`
1500×	`associate-+r+`
1366×	`associate-+l+`
842×	`+-commutative`
478×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	6875
1	823	6067
2	3859	6053

Stop Event

1×	node limit

Counts

75 → 119

Calls

Call 1

Inputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 175036605963169168476917941/4200000000000000000000000)
(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))))
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(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
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(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (/.f64 1 (PI.f64))))
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(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

Outputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 z z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(-.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 175036605963169168476917941/4200000000000000000000000)
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(/.f64 4106156171094664089637421/25000000000000000000000 z)
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(.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.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))))))) z) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))

localize150.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (+.f64 z -15/2))
✓	0.4b	(.f64 (/.f64 1 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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 343 to 274 computations (20.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (/.f64 1 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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

0.0ms

-inf

(*.f64 (/.f64 1 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 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

0.0ms

inf

(*.f64 (/.f64 1 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 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))))))))

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`add-sqr-sqrt`
1140×	`add-exp-log`
1140×	`add-cbrt-cube`
1140×	`add-log-exp`
1140×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	155
1	1199	155

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (/.f64 1 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 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

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

simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1228×	`distribute-lft-in`
1128×	`distribute-rgt-in`
1024×	`*-commutative`
928×	`associate-/l*`
694×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	4103
1	569	3585
2	2303	3571

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 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (*.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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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)))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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 (pow.f64 z 2) (+.f64 (.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (+.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))))) (+.f64 (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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 (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 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 -315341357520700009111955479981/118540800000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (+.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)))))) (.f64 -7438431377385067353648047161/705600000000000000000000000 (+.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 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)))) z) (sqrt.f64 (PI.f64))))
(+.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)))) z) (sqrt.f64 (PI.f64)))) (.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)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))
(+.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)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.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)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 4029717223322681009147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 15738405907415525446283611/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 4)) (sqrt.f64 (PI.f64)))) (+.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)))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.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)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 4029717223322681009147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))))))
(.f64 9151757080597036297/30000000000000000 (.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 9151757080597036297/30000000000000000 (.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 4106156171094664089637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(cbrt.f64 (.f64 (.f64 (/.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 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))))))) z) (/.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 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))))))) z)) (/.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 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))))))) z)))
(cbrt.f64 (.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z) (.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z) (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) z)))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z)
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(exp.f64 (log.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z)
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(log1p.f64 (expm1.f64 (/.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 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))))))) z)))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.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)))))))) z)
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))

eval1.3s (1.7%)

Compiler: Compiled 42988 to 36196 computations (15.8% saved)

prune492.0ms (0.6%)

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1166	27	1193
Fresh	18	12	30
Picked	1	0	1
Done	3	6	9
Total	1188	45	1233

Error

0.0b

Counts

1233 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))
	2.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
	2.1b	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
	1.6b	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2) z))
	1.1b	(/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
	1.2b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.5b	(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 -175036605963169168476917941/4200000000000000000000000)))
	1.2b	(.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.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))))))) z) (sqrt.f64 (.f64 2 (PI.f64))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
✓	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 z)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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✓	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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✓	50.8b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
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	50.8b	(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
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Compiler

Compiled 1476 to 1238 computations (16.1% saved)

regimes188.0ms (0.2%)

Counts

91 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (.f64 z (.f64 (.f64 z (exp.f64 15)) 1/15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z (*.f64 z 1/15)) (exp.f64 -15)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (*.f64 15 (exp.f64 -15)) (/.f64 z (/.f64 1 z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
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(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
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(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 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 (+.f64 (-.f64 1 z) 3) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) -883075145810703/5000000000000)) (.f64 (-.f64 10000000000000/7713234287776531 (/.f64 (+.f64 z -2) 7713234287776531/10000000000000)) (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (.f64 2 (.f64 (.f64 15/2 (exp.f64 -15)) (pow.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (log.f64 2/15)) 2408637854869972117504576098451/3528000000000000000000000000) 2)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (+.f64 -1/15 (log.f64 2/15)) 1106209385320415913103082059/4200000000000000000000000) 54901901787731453525296637639/78400000000000000000000000))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) -7438431377385067353648047161/705600000000000000000000000)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))

Outputs

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

Calls

2 calls:

50.0ms

(*.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)))))

41.0ms

Results

Error	Segments	Branch
0.5b	1	`z`
0.5b	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 3427 to 2687 computations (21.6% saved)

regimes118.0ms (0.2%)

Counts

83 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (.f64 z (.f64 (.f64 z (exp.f64 15)) 1/15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z (*.f64 z 1/15)) (exp.f64 -15)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (*.f64 15 (exp.f64 -15)) (/.f64 z (/.f64 1 z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (exp.f64 (-.f64 -15 (log.f64 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 -175036605963169168476917941/4200000000000000000000000)))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.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 (-.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 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))) (+.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)))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 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:

41.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2763 to 2121 computations (23.2% saved)

regimes87.0ms (0.1%)

Counts

71 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (.f64 z (.f64 (.f64 z (exp.f64 15)) 1/15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z (*.f64 z 1/15)) (exp.f64 -15)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (*.f64 15 (exp.f64 -15)) (/.f64 z (/.f64 1 z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (exp.f64 (-.f64 -15 (log.f64 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 -175036605963169168476917941/4200000000000000000000000)))
(.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 9151757080597036297/30000000000000000 (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.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))))))) z) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 z (sqrt.f64 (*.f64 2 (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 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)) (neg.f64 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 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 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 (.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 40269435042492127/90000000000000 z) 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)) (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 40269435042492127/90000000000000 z) 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 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -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 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 295755570232608827/540000000000000 z)))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 4560878540298521/15000000000000) (+.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 -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 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.8b	1	`z`

Compiler

Compiled 1881 to 1446 computations (23.1% saved)

regimes69.0ms (0.1%)

Counts

62 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (.f64 z (.f64 (.f64 z (exp.f64 15)) 1/15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z (*.f64 z 1/15)) (exp.f64 -15)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (*.f64 15 (exp.f64 -15)) (/.f64 z (/.f64 1 z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) z) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (PI.f64)) z)) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(.f64 (/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) 15))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (.f64 (exp.f64 -15) 15) -1/2)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (pow.f64 (*.f64 (exp.f64 -15) 15) -1/2) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (exp.f64 (-.f64 -15 (log.f64 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (*.f64 z 1/15)))))) 1/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 -175036605963169168476917941/4200000000000000000000000)))
(.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 9151757080597036297/30000000000000000 (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9151757080597036297/30000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.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))))))) z) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 z (sqrt.f64 (*.f64 2 (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 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) z))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)) (neg.f64 (exp.f64 -15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 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 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 (.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 40269435042492127/90000000000000 z) 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)) (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 40269435042492127/90000000000000 z) 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 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1375 to 1072 computations (22% saved)

regimes16.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))))
(sqrt.f64 (.f64 (exp.f64 -15) (.f64 15 (/.f64 (PI.f64) (/.f64 z (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 z))))))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 z z)) (.f64 (exp.f64 -15) 15)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (.f64 z (.f64 (.f64 z (exp.f64 15)) 1/15)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 z (*.f64 z 1/15)) (exp.f64 -15)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (/.f64 z (/.f64 (exp.f64 -15) (.f64 z 1/15))))) 1106209385320415913103082059/4200000000000000000000000)
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (*.f64 15 (exp.f64 -15)) (/.f64 z (/.f64 1 z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
50.7b	1	`z`

Compiler

Compiled 209 to 156 computations (25.4% saved)

regimes12.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 z) (/.f64 (exp.f64 -15) (/.f64 z 15/2)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 15)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
50.8b	1	`z`

Compiler

Compiled 88 to 64 computations (27.3% saved)

regimes6.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
50.8b	1	`z`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
50.8b	1	`z`

Compiler

Compiled 25 to 18 computations (28% saved)

simplify134.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

678×	`distribute-lft-neg-in`
668×	`*-commutative`
378×	`+-commutative`
362×	`distribute-neg-in`
328×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	145	840
1	226	836
2	252	836
3	264	836
4	277	836
5	304	836
6	340	836
7	393	836
8	448	836
9	497	836
10	548	836
11	640	836
12	782	836
13	964	836
14	1161	836
15	1382	836
16	1604	836
17	1807	836
18	1961	836
19	2045	836
20	2076	836
21	2082	836
22	2082	836

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.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 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.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 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (-.f64 (/.f64 3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (+.f64 -9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (.f64 z -9487795309719323173/900000000000000000) -6251307572601308353/150000000000000000))))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(.f64 (sqrt.f64 (.f64 (PI.f64) (exp.f64 -15))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 15 z) (/.f64 z (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

Compiler

Compiled 276 to 231 computations (16.3% saved)

soundness93.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 124 to 110 computations (11.3% saved)

end140.0ms (0.2%)

Compiler: Compiled 269 to 211 computations (21.6% saved)