Details

analyze786.0ms (1%)

Algorithm

1×

Search

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

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.0min (74.8%)

Results

55.4s	3928×	body	8192	exit
5.0s	8256×	body	256	valid
69.0ms	93×	body	256	unsamplable
37.0ms	74×	body	256	infinite

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)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs

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

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

eval7.0ms (0%)

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

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

Compiler

Compiled 350 to 293 computations (16.3% saved)

localize284.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 477 to 364 computations (23.7% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`add-sqr-sqrt`
792×	`add-exp-log`
792×	`add-cbrt-cube`
792×	`add-log-exp`
792×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
1	820	166

Stop Event

1×	node limit

Counts

4 → 53

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 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 7713234287776531/10000000000000 (-.f64 3 z))

Outputs
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simplify113.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-+l+`
1028×	`associate-+r+`
904×	`*-commutative`
790×	`+-commutative`
570×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	3877
1	609	3789
2	2937	3777

Stop Event

1×	node limit

Counts

89 → 141

Calls

Call 1

Inputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
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(/.f64 -121443148578839881/200000000000000 z)
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(/.f64 -121443148578839881/200000000000000 z)
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7902188421553103227/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(cbrt.f64 (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(*.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))) (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(.f64 (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
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(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
(+.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 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000) (.f64 (.f64 z z) (+.f64 (*.f64 z 2868249125582949494677/324000000000000000000) 139903109899614281171/5400000000000000000)))
(/.f64 -121443148578839881/200000000000000 z)
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7902188421553103227/30000000000000000
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(fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000)
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(+.f64 7902188421553103227/30000000000000000 (fma.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3) (fma.f64 2943194126470171931171/5400000000000000000 (.f64 z z) (.f64 z 39321001939258358983/90000000000000000))))
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9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z))
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(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
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(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (+.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 2748699024162993/40000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (/.f64 -2748699024162993/40000000000000 (pow.f64 z 3))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(cbrt.f64 (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))
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(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(.f64 (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(cbrt.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

localize302.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

Compiler

Compiled 668 to 560 computations (16.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite133.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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simplify139.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

152 → 226

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
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(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
9999999999998099/10000000000000000
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.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)))))
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)))))
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Outputs
469507597606837/10000000000000
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(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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9151757080597036297/30000000000000000
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(fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)
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(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))) 1))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 9999999999998099/10000000000000000))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (+.f64 (neg.f64 z) -1))
(*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) -4)) (-.f64 -1 z))
(/.f64 (*.f64 7713234287776531/10000000000000 (-.f64 -1 z)) (+.f64 (pow.f64 (-.f64 1 z) 2) -4))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 8 (pow.f64 (-.f64 1 z) 3))) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (.f64 (-.f64 1 z) 2))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 4 (.f64 2 (-.f64 1 z)))))
(.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 3) 8)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 4 (.f64 2 (+.f64 -1 z)))))
(/.f64 (.f64 7713234287776531/10000000000000 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 2 (.f64 2 (neg.f64 z))))) (+.f64 (pow.f64 (-.f64 1 z) 3) 8))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3)
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))

localize200.0ms (0.2%)

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 498 to 393 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite132.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	104
1	466	104
2	6806	104

Stop Event

1×	node limit

Counts

2 → 103

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)))))

Outputs

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simplify149.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate-/r*`
692×	`associate--r+`
544×	`associate-/l*`
524×	`associate-*r/`
490×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	10913
1	1076	10537
2	4232	10435

Stop Event

1×	node limit

Counts

127 → 226

Calls

Call 1

Inputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
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(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(/.f64 -943522900885677/5000000000000 z)
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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)

Outputs
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
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(+.f64 4560878540298521/15000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000))))
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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
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(-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
(-.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z)) (/.f64 1180530552525097/2500000000000 (*.f64 z z))) (/.f64 12909371801155759/5000000000000 (pow.f64 z 3)))
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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localize254.0ms (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)))
✓	5.5b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (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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simplify152.0ms (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))))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (/.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
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(/.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)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))
(/.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)))))
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(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)))

eval1.8s (2.2%)

Compiler: Compiled 91717 to 72797 computations (20.6% saved)

prune566.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	923	13	936
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	926	14	940

Error

0.3b

Counts

940 → 14

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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
	1.0b	(.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))))))
	1.6b	(.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 (+.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))))))))
	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))
▶	1.1b	(.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 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))))))))
▶	1.9b	(.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 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 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.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)))))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	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 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 1917 to 1570 computations (18.1% saved)

localize674.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
	5.5b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 618 to 517 computations (16.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite300.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`add-sqr-sqrt`
554×	`add-exp-log`
554×	`add-cbrt-cube`
554×	`add-log-exp`
554×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	571	80

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs

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

(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))) (#(struct:change 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simplify341.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r*`
1134×	`+-commutative`
1010×	`associate-+r+`
992×	`associate-+l+`
528×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	8980
1	1165	8196
2	4163	7554

Stop Event

1×	node limit

Counts

132 → 219

Calls

Call 1

Inputs
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
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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
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371756020978964147/150000000000000000
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(/.f64 (+.f64 (.f64 3464277381643003/25000000000000000 (neg.f64 (-.f64 1 (-.f64 z 4)))) (.f64 (+.f64 (neg.f64 (-.f64 1 z)) -5) -2501468655737381/200000000000000)) (*.f64 (+.f64 (neg.f64 (-.f64 1 z)) -5) (neg.f64 (-.f64 1 (-.f64 z 4)))))
(/.f64 (neg.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 4)) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) 2))) (neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(/.f64 (neg.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -5)) 3)))) (neg.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 4)) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (-.f64 z 4)) (-.f64 1 (+.f64 z -5))))))))
(/.f64 (neg.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -5)) (.f64 (-.f64 1 (-.f64 z 4)) -3464277381643003/25000000000000000))) (neg.f64 (.f64 (-.f64 1 (-.f64 z 4)) (-.f64 1 (+.f64 z -5)))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (+.f64 z -5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))

Outputs
479507597606835099/10000000000000000
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(fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000))
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(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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371756020978964147/150000000000000000
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)
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(-.f64 (/.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
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(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (+.f64 z -5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))

localize181.0ms (0.2%)

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

Compiler

Compiled 249 to 176 computations (29.3% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	211
1	879	211

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

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

(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

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

Outputs

((#(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))))) 7902188421553103227/30000000000000000) (*.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 (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 (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))))) 7902188421553103227/30000000000000000))))) (#(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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.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 7902188421553103227/30000000000000000 (+.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 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 7902188421553103227/30000000000000000 (+.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 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.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 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.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 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((#(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 (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)))))))))) (#(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))))))))))

simplify100.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1428×	`associate-+l+`
1014×	`associate-*l/`
998×	`associate-*r/`
842×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	5677
1	813	5409
2	3689	5375

Stop Event

1×	node limit

Counts

63 → 104

Calls

Call 1

Inputs
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1106209385320415913103082059/4200000000000000000000000
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(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(+.f64 (.f64 (.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))))) 7902188421553103227/30000000000000000) (.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 (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 (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))))) 7902188421553103227/30000000000000000))
(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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 7902188421553103227/30000000000000000 (+.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) 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)))))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 -15/2) (.f64 185840460885797547300949738751/705600000000000000000000000 (sqrt.f64 15/2)))) z))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) (.f64 (exp.f64 -15/2) (.f64 185840460885797547300949738751/705600000000000000000000000 (sqrt.f64 15/2)))) z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (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 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) 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 (fma.f64 (sqrt.f64 15/2) (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) 18583774503776522120058169159/141120000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000)) (fma.f64 -1 (log.f64 15/2) -1/15)))) (.f64 z z))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) z)) (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))))
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(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 7902188421553103227/30000000000000000)) 62444581849727925073340192313717813529/900000000000000000000000000000000))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 7902188421553103227/30000000000000000))) 62444581849727925073340192313717813529/900000000000000000000000000000000))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
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(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(cbrt.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

localize163.0ms (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)

series14.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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))))))))
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 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 (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)))

rewrite90.0ms (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	245
1	1206	245

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

(*.f64 (/.f64 (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 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

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

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

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1456×	`associate-*r/`
1398×	`associate-+r+`
1290×	`associate-+l+`
886×	`+-commutative`
624×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	6820
1	1005	6030
2	4237	6016

Stop Event

1×	node limit

Counts

64 → 110

Calls

Call 1

Inputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
(+.f64 (.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))))
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
(+.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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(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 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 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 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 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 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 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 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 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 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 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 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 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 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 z (PI.f64)))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(cbrt.f64 (.f64 (.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))))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))

Outputs
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -9487795309719323173/900000000000000000 z (.f64 -1795630016662247729/675000000000000000 (.f64 z z))) -6251307572601308353/150000000000000000)
(fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000))
(-.f64 (+.f64 (.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(+.f64 (fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (.f64 -1795630016662247729/675000000000000000 (.f64 z z)))) -6251307572601308353/150000000000000000)
(fma.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3) (fma.f64 -9487795309719323173/900000000000000000 z (fma.f64 -1795630016662247729/675000000000000000 (*.f64 z z) -6251307572601308353/150000000000000000)))
(/.f64 2053078212233992689/12500000000000000 z)
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(/.f64 2053078212233992689/12500000000000000 z)
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(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (.f64 (.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))))))
(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 z (PI.f64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize172.0ms (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)

series6.0ms (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))))))))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))

rewrite106.0ms (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))))))))

((#(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 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 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 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 (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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))))))))

simplify90.0ms (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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Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(*.f64 40269435042492127/90000000000000 z)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(.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))))))

localize201.0ms (0.2%)

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 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 473 to 361 computations (23.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1428×	`associate-/r*`
1110×	`associate-/r/`
634×	`associate-/l*`
348×	`associate-/l/`
292×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	284	31
2	3981	31

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

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simplify164.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1036×	`associate-+r+`
998×	`associate-+l+`
722×	`distribute-lft-in`
666×	`distribute-rgt-in`
628×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	11108
1	1630	10718
2	6938	10666

Stop Event

1×	node limit

Counts

154 → 270

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)))
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(/.f64 (/.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (-.f64 1 z)) (cbrt.f64 (-.f64 2 z))) (pow.f64 (cbrt.f64 (-.f64 2 z)) 2))
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(/.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 6765203681218851/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))) (-.f64 1 z)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))
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(/.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))) (-.f64 1 z))
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(pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
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(log.f64 (exp.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
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(exp.f64 (log.f64 (+.f64 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(fma.f64 1 (/.f64 -6765203681218851/10000000000000 (+.f64 -1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
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Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
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(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
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eval2.4s (2.9%)

Compiler: Compiled 91431 to 71452 computations (21.9% saved)

prune592.0ms (0.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1001	16	1017
Fresh	1	7	8
Picked	1	0	1
Done	4	1	5
Total	1007	24	1031

Error

0.0b

Counts

1031 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.0b	(.f64 (/.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))))))
	1.6b	(.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 (+.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))))))))
▶	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 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))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.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 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 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)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 z 12591392167224028/6765203681218851) 939015195213674/6765203681218851) z) (-.f64 2 z)) (+.f64 10000000000000/6765203681218851 (.f64 z -10000000000000/6765203681218851)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.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)))))))
	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 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.9b	(.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))))))))
	1.5b	(.f64 (.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 -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 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))))
	1.1b	(.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))))))
	1.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
▶	1.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	1.3b	(.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 2413 to 1988 computations (17.6% saved)

localize220.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 498 to 393 computations (21.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 19999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 9999999999998099/10000000000000000 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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simplify150.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-/r*`
1072×	`+-commutative`
880×	`associate-+l+`
874×	`*-commutative`
690×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	7673
1	984	7293
2	3721	7293

Stop Event

1×	node limit

Counts

125 → 200

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.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)))))
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
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(/.f64 1 (/.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))
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(/.f64 (+.f64 (.f64 3147848041806007/2500000000000 (.f64 (-.f64 3 z) 10000000000000/7713234287776531)) (.f64 (neg.f64 (-.f64 2 z)) 1)) (.f64 (neg.f64 (-.f64 2 z)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
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(/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))) (.f64 (neg.f64 (-.f64 3 z)) 1)) (*.f64 (neg.f64 (-.f64 3 z)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
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(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
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Outputs
9151757080597036297/30000000000000000
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(/.f64 (.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) 1) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 -24280089448768304182713669421717/25000000000000000000000000 (.f64 (-.f64 2 z) (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 24280089448768304182713669421717/25000000000000000000000000 (*.f64 (-.f64 2 z) (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 (/.f64 24280089448768304182713669421717/25000000000000000000000000 (+.f64 z -3)) (+.f64 z -2)))))
(/.f64 (neg.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (neg.f64 (.f64 (-.f64 2 z) (-.f64 3 z))))
(.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (/.f64 1 (*.f64 (-.f64 2 z) (-.f64 3 z))))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (+.f64 -2 z) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (-.f64 2 z) (-.f64 3 z)))
(/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 -7713234287776531/10000000000000 (+.f64 z -2))) (.f64 (+.f64 z -3) (+.f64 z -2)))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(fabs.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

localize250.0ms (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))

rewrite78.0ms (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))))))))

simplify119.0ms (0.1%)

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))))
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(.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))))
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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))))))
(+.f64 (.f64 15738405907415525446283611/6250000000000000000000 (.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 4)) (sqrt.f64 (PI.f64)))) (+.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)))))))
(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))))
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(/.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)))))))))
(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))

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.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)

series44.0ms (0.1%)

Counts

4 → 0

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	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))))
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 (.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)

rewrite128.0ms (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	102
1	384	94
2	4611	94

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

simplify99.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-r`
580×	`associate-l`
566×	`associate-/l*`
544×	`log-prod`
432×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	4852
1	921	4674
2	4471	4662

Stop Event

1×	node limit

Counts

150 → 211

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.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 (PI.f64)) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))))
(/.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 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))))) z)
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(/.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 (/.f64 z (sqrt.f64 15/2)) (*.f64 (pow.f64 2 1/4) (exp.f64 -15/2))))
(/.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 (/.f64 z (sqrt.f64 15/2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 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 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 1) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (sqrt.f64 z)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 z))
(/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) (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 (PI.f64)) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))) 1) z)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) 1) z)
(/.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) 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))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) 1)
(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))
(log.f64 (exp.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))))
(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 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 2) (/.f64 1 z)))
(.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 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 (exp.f64 -15/2) (sqrt.f64 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 (.f64 15/2 (exp.f64 -15))) 1) (/.f64 (sqrt.f64 2) 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 (.f64 15/2 (exp.f64 -15))) (cbrt.f64 (*.f64 z z))) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) 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 (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 (exp.f64 -15/2) (sqrt.f64 2)) 1) (/.f64 (sqrt.f64 15/2) z))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (sqrt.f64 z)) (/.f64 (sqrt.f64 15/2) (sqrt.f64 z)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 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 (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (sqrt.f64 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 (exp.f64 -15/2) (sqrt.f64 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 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(*.f64 (exp.f64 -15/2) (log.f64 (exp.f64 (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (exp.f64 -45/2))))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (exp.f64 -45/2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(*.f64 (exp.f64 -15/2) (log.f64 (exp.f64 (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(*.f64 (exp.f64 -15/2) (log.f64 (exp.f64 (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (exp.f64 -15/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(-.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 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (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 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.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 (sqrt.f64 (PI.f64))) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.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 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.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)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))))) z)
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
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(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 1 z))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) z) (.f64 (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 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 2) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))
(.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 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 2) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))
(.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 (cbrt.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))) (.f64 (/.f64 (sqrt.f64 2) z) (cbrt.f64 (.f64 15/2 (exp.f64 -15)))))
(.f64 (/.f64 1 (/.f64 z (sqrt.f64 2))) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 2) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))
(.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 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(.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 (cbrt.f64 (.f64 15 (exp.f64 -15))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 15 (exp.f64 -15)))) (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))) z))
(.f64 (/.f64 1 (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 2)))) (sqrt.f64 15/2))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 1 z))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.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 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (*.f64 (sqrt.f64 2) (/.f64 1 z)))
(.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))) (/.f64 (sqrt.f64 2) z))
(.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 (cbrt.f64 (.f64 15 (exp.f64 -15))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 15 (exp.f64 -15)))) (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15))) z))
(.f64 (/.f64 (cbrt.f64 2) (/.f64 z (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (sqrt.f64 2)))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (/.f64 (cbrt.f64 2) z) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (/.f64 (cbrt.f64 2) z)))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (sqrt.f64 15/2))
(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 1 z))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2)))
(pow.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)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z)) 2)
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z)) 3)
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) 3) 1/3)
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(pow.f64 (/.f64 z (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) -1)
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(neg.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) (neg.f64 z)))
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(sqrt.f64 (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z)))
(sqrt.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)))
(sqrt.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)))
(log.f64 (exp.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)
(log.f64 (+.f64 1 (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)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z) 3))
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z)
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) 3) (pow.f64 z 3)))
(/.f64 (sqrt.f64 (*.f64 15 (exp.f64 -15))) z)
(/.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)

localize144.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	1.0b	(.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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	1.0b	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 270 to 192 computations (28.9% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms	z	@	inf	(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	196
1	952	196

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs

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

(+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

Outputs

((#(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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))))) (#(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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(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 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-+r+`
1294×	`associate-+l+`
904×	`associate-*r/`
898×	`associate-*l/`
860×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	5171
1	756	4465
2	3542	4443

Stop Event

1×	node limit

Counts

43 → 94

Calls

Call 1

Inputs
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1106209385320415913103082059/4200000000000000000000000
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(+.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 1 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (sqrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (-.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))) (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(pow.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)))
(+.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 (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))))) z)) (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))))
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(/.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))) (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (fma.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000)))))))
(pow.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(log.f64 (exp.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

localize224.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 460 to 364 computations (20.9% saved)

series27.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	z	@	inf	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.0ms	z	@	0	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.0ms	z	@	-inf	(.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
1.0ms	z	@	0	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
1.0ms	z	@	-inf	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	356
1	1279	356

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs

(*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))))

((#(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 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 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simplify174.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

40 → 100

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (sqrt.f64 (.f64 2 (PI.f64))))) (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
(.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 1 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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(/.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (+.f64 9151757080597036297/30000000000000000 (fma.f64 z 40269435042492127/90000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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eval1.3s (1.6%)

Compiler: Compiled 54044 to 42156 computations (22% saved)

prune374.0ms (0.5%)

Pruning

44 alts after pruning (42 fresh and 2 done)

	Pruned	Kept	Total
New	851	31	882
Fresh	7	11	18
Picked	1	0	1
Done	3	2	5
Total	862	44	906

Error

0.0b

Counts

906 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(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)
	1.8b	(/.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)))))))))
	2.6b	(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
	1.4b	(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 15/2)))
	2.2b	(/.f64 (.f64 (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))
	2.3b	(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))))
	1.6b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
	1.8b	(/.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	2.4b	(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
	1.7b	(.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)))))))))
	1.8b	(.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))))))))
	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))))))
▶	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
✓	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 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))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 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)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 z 12591392167224028/6765203681218851) 939015195213674/6765203681218851) z) (-.f64 2 z)) (+.f64 10000000000000/6765203681218851 (.f64 z -10000000000000/6765203681218851)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.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)))))))
	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 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	39.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
	1.3b	(.f64 (/.f64 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))))))))
	1.9b	(.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))))))))
▶	1.2b	(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	3.3b	(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
	1.3b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	2.4b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
	1.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
	7.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1)) z) (sqrt.f64 (PI.f64))))
	1.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
	8.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) z) (sqrt.f64 (PI.f64))))
	2.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z) (sqrt.f64 (PI.f64))))
	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
▶	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
	63.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
	34.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
	50.7b	(sqrt.f64 (.f64 (.f64 (PI.f64) (/.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))) (*.f64 z z))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
	50.7b	(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
▶	50.7b	(sqrt.f64 (.f64 (PI.f64) (.f64 (*.f64 (/.f64 15 z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))

Compiler

Compiled 2966 to 2501 computations (15.7% saved)

localize260.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
	1.0b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 591 to 468 computations (20.8% saved)

series12.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z)))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z)))))

rewrite143.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1576×	`add-cbrt-cube`
1576×	`add-cube-cbrt`
1576×	`*-un-lft-identity`
134×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	344
1	1634	344

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))

Outputs

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simplify111.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1304×	`associate-+r+`
1302×	`associate-*r/`
1152×	`associate-+l+`
1058×	`associate-*l/`
978×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	7210
1	864	6232
2	3575	6208

Stop Event

1×	node limit

Counts

42 → 91

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

localize31.0ms (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)
✓	0.1b	(.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))
✓	31.7b	(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	@	inf	(.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))

rewrite128.0ms (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
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simplify216.0ms (0.3%)

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)))
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(/.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))
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(.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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(/.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)

localize35.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(*.f64 15/2 (exp.f64 -15))

Compiler

Compiled 73 to 63 computations (13.7% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
1.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
0.0ms	z	@	0	(.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15))))) (sqrt.f64 (PI.f64))))
0.0ms	z	@	-inf	(.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (*.f64 15/2 (exp.f64 -15)))))

rewrite147.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`associate-*r/`
754×	`associate-*l/`
526×	`associate-/l*`
520×	`associate-/r*`
382×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	401	67
2	4550	67

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

Inputs

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

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

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

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

simplify123.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-/l*`
984×	`distribute-frac-neg`
638×	`associate-/l/`
542×	`distribute-lft-neg-out`
536×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	6996
1	1140	6822
2	4814	6822

Stop Event

1×	node limit

Counts

208 → 273

Calls

Call 1

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

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

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 44 computations (17% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

6 calls:

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

rewrite101.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-*r/`
1460×	`associate-*l/`
982×	`associate-/r*`
374×	`add-sqr-sqrt`
356×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	75
1	384	73
2	4518	73

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify113.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-/l*`
926×	`times-frac`
900×	`distribute-lft-in`
898×	`distribute-rgt-in`
664×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	391	6924
1	1016	6724
2	5966	6724

Stop Event

1×	node limit

Counts

162 → 190

Calls

Call 1

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

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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.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 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(cbrt.f64 (.f64 (.f64 15/2 (sqrt.f64 15/2)) (pow.f64 (exp.f64 -15/2) 3)))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (sqrt.f64 15/2) (.f64 15/2 (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -15/2) 3) (.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (.f64 15/2 (.f64 (sqrt.f64 15/2) (pow.f64 (exp.f64 -15/2) 3))))
(cbrt.f64 (.f64 (sqrt.f64 15/2) (.f64 15/2 (pow.f64 (exp.f64 -15/2) 3))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(.f64 (pow.f64 2 1/4) (.f64 (/.f64 1 z) (pow.f64 2 1/4)))
(/.f64 (pow.f64 2 1/2) z)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 2 (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (.f64 z z))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 z))
(/.f64 (cbrt.f64 2) (/.f64 z (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) z)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(.f64 (pow.f64 2 1/4) (.f64 (/.f64 1 z) (pow.f64 2 1/4)))
(/.f64 (pow.f64 2 1/2) z)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 z))
(/.f64 (cbrt.f64 2) (/.f64 z (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 z))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) z)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(/.f64 (sqrt.f64 2) z)
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(/.f64 (sqrt.f64 2) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(/.f64 (sqrt.f64 2) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(/.f64 (sqrt.f64 2) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (/.f64 2 (.f64 z z)) (*.f64 15/2 (exp.f64 -15))))))) 1)
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (/.f64 2 (*.f64 z z)) 15/2) (exp.f64 -15)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (exp.f64 -15) (/.f64 15 (.f64 z z))))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) (sqrt.f64 2))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64)))) z) (sqrt.f64 (.f64 15/2 (exp.f64 -15))))
(.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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(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) 3) (pow.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 2) z))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 2) z))) 3) (.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (exp.f64 -15/2) (.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 15/2))) 3) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (/.f64 2 (.f64 z z)) (*.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (/.f64 2 (*.f64 z z)) 15/2) (exp.f64 -15)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (exp.f64 -15) (/.f64 15 (.f64 z z))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (/.f64 2 (.f64 z z)) (*.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (/.f64 2 (*.f64 z z)) 15/2) (exp.f64 -15)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (exp.f64 -15) (/.f64 15 (.f64 z z))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (/.f64 2 (.f64 z z)) (.f64 15/2 (exp.f64 -15)))))) 1))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (/.f64 2 (*.f64 z z)) 15/2) (exp.f64 -15)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (exp.f64 -15) (/.f64 15 (.f64 z z))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (.f64 (/.f64 2 (.f64 z z)) (*.f64 15/2 (exp.f64 -15)))))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (/.f64 2 (*.f64 z z)) 15/2) (exp.f64 -15)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (exp.f64 -15) (/.f64 15 (.f64 z z))))))

localize110.0ms (0.1%)

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 z 39321001939258358983/90000000000000000)
	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	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 153 to 96 computations (37.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(*.f64 z 39321001939258358983/90000000000000000)
0.0ms	z	@	inf	(*.f64 z 39321001939258358983/90000000000000000)
0.0ms	z	@	0	(*.f64 z 39321001939258358983/90000000000000000)

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`associate-l`
902×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
826×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 z 39321001939258358983/90000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (*.f64 z 1546141193507159627864068885438096794289/8100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) 39321001939258358983/90000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z 39321001939258358983/90000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z 39321001939258358983/90000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z 39321001939258358983/90000000000000000)))))))

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

836×	`log-prod`
820×	`distribute-rgt-out`
782×	`+-commutative`
690×	`fma-def`
624×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	85	161
2	261	161
3	1817	161
4	3909	161
5	6076	161

Stop Event

1×	node limit

Counts

23 → 12

Calls

Call 1

Inputs
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(-.f64 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 1) 1)
(pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3) 1/3)
(sqrt.f64 (.f64 z (.f64 z 1546141193507159627864068885438096794289/8100000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 z) 39321001939258358983/90000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 z 39321001939258358983/90000000000000000)))
(exp.f64 (log.f64 (*.f64 z 39321001939258358983/90000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 39321001939258358983/90000000000000000)))

Outputs
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 39321001939258358983/90000000000000000 z)
(-.f64 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) 1) 1)
(*.f64 39321001939258358983/90000000000000000 z)
(pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 1)
(*.f64 39321001939258358983/90000000000000000 z)
(pow.f64 (sqrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 2)
(*.f64 39321001939258358983/90000000000000000 z)
(pow.f64 (cbrt.f64 (*.f64 z 39321001939258358983/90000000000000000)) 3)
(*.f64 39321001939258358983/90000000000000000 z)
(pow.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3) 1/3)
(*.f64 39321001939258358983/90000000000000000 z)
(sqrt.f64 (.f64 z (.f64 z 1546141193507159627864068885438096794289/8100000000000000000000000000000000)))
(*.f64 39321001939258358983/90000000000000000 z)
(log.f64 (pow.f64 (exp.f64 z) 39321001939258358983/90000000000000000))
(*.f64 39321001939258358983/90000000000000000 z)
(cbrt.f64 (pow.f64 (*.f64 z 39321001939258358983/90000000000000000) 3))
(*.f64 39321001939258358983/90000000000000000 z)
(expm1.f64 (log1p.f64 (*.f64 z 39321001939258358983/90000000000000000)))
(*.f64 39321001939258358983/90000000000000000 z)
(exp.f64 (log.f64 (*.f64 z 39321001939258358983/90000000000000000)))
(*.f64 39321001939258358983/90000000000000000 z)
(log1p.f64 (expm1.f64 (*.f64 z 39321001939258358983/90000000000000000)))
(*.f64 39321001939258358983/90000000000000000 z)

eval1.3s (1.6%)

Compiler: Compiled 33135 to 25375 computations (23.4% saved)

prune737.0ms (0.9%)

Pruning

48 alts after pruning (45 fresh and 3 done)

	Pruned	Kept	Total
New	1076	31	1107
Fresh	23	14	37
Picked	1	0	1
Done	3	3	6
Total	1103	48	1151

Error

Counts

1151 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
	1.8b	(/.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)))))))))
	2.6b	(/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 1106209385320415913103082059/4200000000000000000000000) z)
	1.2b	(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 2)) z)
	2.3b	(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) z)
	1.2b	(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
	1.6b	(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
	1.8b	(/.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
	1.8b	(.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))))))))
	3.3b	(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
	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))))))
	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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.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))))))))
✓	0.5b	(.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))
	1.1b	(.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 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))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 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)))))))
	39.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 z 12591392167224028/6765203681218851) 939015195213674/6765203681218851) z) (-.f64 2 z)) (+.f64 10000000000000/6765203681218851 (.f64 z -10000000000000/6765203681218851)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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Compiler

Compiled 1661 to 1385 computations (16.6% saved)

regimes236.0ms (0.3%)

Counts

96 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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))
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(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
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(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (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))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (fma.f64 (+.f64 -5000000000000/3147848041806007 (.f64 z 2500000000000/3147848041806007)) 7713234287776531/10000000000000 (-.f64 3 z)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (.f64 z 2500000000000/3147848041806007))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 3))

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

Calls

2 calls:

52.0ms

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

45.0ms

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 3581 to 2758 computations (23% saved)

regimes126.0ms (0.2%)

Counts

90 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 z 12591392167224028/6765203681218851) 939015195213674/6765203681218851) z) (-.f64 2 z)) (+.f64 10000000000000/6765203681218851 (.f64 z -10000000000000/6765203681218851)))))) (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 3 z))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Calls

1 calls:

43.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 2876 to 2177 computations (24.3% saved)

regimes100.0ms (0.1%)

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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 2)) z)
(.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(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)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (.f64 (PI.f64) (.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (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 -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 z (PI.f64)))) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 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)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (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)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 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))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 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:

37.0ms

Results

Error	Segments	Branch
0.9b	1	`z`

Compiler

Compiled 2296 to 1733 computations (24.5% saved)

regimes135.0ms (0.2%)

Counts

80 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

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

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 2076 to 1567 computations (24.5% saved)

regimes102.0ms (0.1%)

Counts

72 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (.f64 z (exp.f64 15))) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 2)) z)
(.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(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)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (.f64 (PI.f64) (.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
1.1b	1	`z`

Compiler

Compiled 1604 to 1223 computations (23.8% saved)

regimes94.0ms (0.1%)

Counts

70 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 2)) z)
(.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(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)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (.f64 (PI.f64) (.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (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 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Calls

1 calls:

51.0ms

Results

Error	Segments	Branch
1.1b	1	`z`

Compiler

Compiled 1504 to 1153 computations (23.3% saved)

regimes127.0ms (0.2%)

Counts

69 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 z (sqrt.f64 15/2)))
(/.f64 (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (sqrt.f64 2)) z)
(.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 15)) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15)))) z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(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)
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 15/2 (exp.f64 -15)))))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (-.f64 (exp.f64 (log1p.f64 (*.f64 15/2 (exp.f64 -15)))) 1)))) (sqrt.f64 (PI.f64))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (log.f64 (exp.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15)))))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (log.f64 (pow.f64 (exp.f64 (exp.f64 -15)) 15/2))))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 15/2 (exp.f64 -15))))) 1)) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (.f64 (PI.f64) (.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 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (.f64 z (PI.f64))))

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

Calls

1 calls:

61.0ms

Results

Error	Segments	Branch
1.2b	1	`z`

Compiler

Compiled 1455 to 1119 computations (23.1% saved)

regimes80.0ms (0.1%)

Counts

44 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))

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

Calls

1 calls:

59.0ms

Results

Error	Segments	Branch
1.2b	1	`z`

Compiler

Compiled 783 to 616 computations (21.3% saved)

regimes43.0ms (0.1%)

Counts

43 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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 (PI.f64)) (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) 15)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) z) (sqrt.f64 (*.f64 (exp.f64 -15) 15)))
(/.f64 (sqrt.f64 (.f64 15 (exp.f64 -15))) (/.f64 z (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000)))
(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 (sqrt.f64 (PI.f64)) (sqrt.f64 (.f64 2 (.f64 15/2 (exp.f64 -15))))) 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (.f64 z 39321001939258358983/90000000000000000))))
(.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 (.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 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 (sqrt.f64 15) (/.f64 z (sqrt.f64 (exp.f64 -15)))) (sqrt.f64 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))))) 3)
(sqrt.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 (-.f64 -15 (log.f64 z)) (log.f64 (/.f64 15 z)))) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.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 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 768 to 604 computations (21.4% saved)

regimes15.0ms (0%)

Counts

14 → 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)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))))
(/.f64 (.f64 (sqrt.f64 (.f64 (*.f64 (exp.f64 -15) 15) (PI.f64))) 1106209385320415913103082059/4200000000000000000000000) 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 (.f64 15 (exp.f64 -15)) (.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (.f64 (/.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1/15) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (PI.f64) (/.f64 (.f64 (/.f64 (exp.f64 -15) z) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (*.f64 z 1/15))))
(.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 -15 (/.f64 (/.f64 z (exp.f64 -15)) (/.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))

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.1b	1	`z`

Compiler

Compiled 174 to 132 computations (24.1% saved)

regimes6.0ms (0%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
50.7b	1	`z`

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify238.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

914×	`distribute-lft-neg-in`
850×	`*-commutative`
548×	`distribute-neg-in`
520×	`+-commutative`
440×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	190	1470
1	307	1454
2	343	1454
3	386	1454
4	445	1454
5	512	1454
6	573	1454
7	620	1454
8	681	1454
9	773	1454
10	941	1454
11	1177	1454
12	1470	1454
13	1785	1454
14	2085	1454
15	2338	1454
16	2528	1454
17	2644	1454
18	2707	1454
19	2744	1454
20	2781	1454
21	2790	1454
22	2800	1454
23	2821	1454

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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.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) (*.f64 (PI.f64) 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z 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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (/.f64 (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 -1/2 (+.f64 (-.f64 1 z) 6)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 -7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (+.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 7713234287776531/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 7713234287776531/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))) (.f64 (-.f64 3 z) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (*.f64 z -9487795309719323173/900000000000000000) -6251307572601308353/150000000000000000))))))
(.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 (+.f64 (-.f64 3 z) (.f64 7713234287776531/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))) (.f64 (+.f64 z -3) (+.f64 (/.f64 z -3147848041806007/2500000000000) 5000000000000/3147848041806007))))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (*.f64 z -9487795309719323173/900000000000000000) -6251307572601308353/150000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (-.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 (.f64 z -2943194126470171931171/5400000000000000000) -39321001939258358983/90000000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 7902188421553103227/30000000000000000 (*.f64 z -39321001939258358983/90000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (-.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (-.f64 (-.f64 (/.f64 -3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 z 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 z 39321001939258358983/90000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 z 39321001939258358983/90000000000000000))))))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 -15))) (/.f64 (sqrt.f64 15) z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15))) z))
(sqrt.f64 (.f64 (PI.f64) (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (.f64 z z) (PI.f64)))))

Compiler

Compiled 477 to 396 computations (17% saved)

soundness202.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1204×	`associate-/r*`
938×	`associate-*r/`
820×	`associate-/l*`
792×	`associate-*l/`
724×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	491	9388
1	1434	8094
2	5007	7998

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 719 to 601 computations (16.4% saved)

end221.0ms (0.3%)

Compiler: Compiled 466 to 357 computations (23.4% saved)