Details

analyze611.0ms (0.7%)

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 (74.9%)

Results

57.2s	3884×	body	8192	exit
4.7s	8256×	body	256	valid
51.0ms	97×	body	256	unsamplable
48.0ms	94×	body	256	infinite

Bogosity

preprocess71.0ms (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)

simplify100.0ms (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)

localize508.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 477 to 364 computations (23.7% saved)

series31.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
7.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
1.0ms	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

rewrite186.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	360
1	1499	360

Stop Event

1×	node limit

Counts

4 → 41

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
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simplify191.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-*r/`
1220×	`associate-*l/`
652×	`associate--r+`
608×	`associate-r`
598×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	343	7825
1	1023	6877
2	5033	6851

Stop Event

1×	node limit

Counts

77 → 138

Calls

Call 1

Inputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
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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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(log.f64 (exp.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
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(expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))

localize572.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 668 to 560 computations (16.2% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite164.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	267
1	1145	267

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.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))))

Inputs

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

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

(+.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
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Outputs

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simplify199.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-+r+`
1140×	`associate-+l-`
926×	`+-commutative`
888×	`associate-+r-`
864×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	5387
1	675	4747
2	2784	3873
3	7285	3873

Stop Event

1×	node limit

Counts

71 → 128

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

localize537.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 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 (/.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)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite170.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	111
1	772	111

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 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6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 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-3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))

((#(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 (+.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 *.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 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))) (#(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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))) (#(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 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))

simplify151.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1512×	`fma-def`
1268×	`distribute-lft-in`
1112×	`distribute-rgt-in`
712×	`*-commutative`
532×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3029
1	567	2941
2	2335	2739

Stop Event

1×	node limit

Counts

75 → 124

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)
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(/.f64 -943522900885677/5000000000000 z)
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-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
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(/.f64 2053078212233992689/12500000000000000 z)
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(/.f64 2053078212233992689/12500000000000000 z)
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7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)) (+.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
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(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
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(/.f64 (-.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3)) (+.f64 (.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
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(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
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(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(*.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
4560878540298521/15000000000000
(+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000)
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 295755570232608827/540000000000000 (pow.f64 z 2))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (.f64 z (.f64 z 295755570232608827/540000000000000))))
(fma.f64 40269435042492127/90000000000000 z (fma.f64 z (*.f64 z 295755570232608827/540000000000000) 4560878540298521/15000000000000))
(+.f64 4560878540298521/15000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 4560878540298521/15000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
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(/.f64 -943522900885677/5000000000000 z)
(neg.f64 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 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 (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))

localize591.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 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	(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)))
✓	6.9b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(+.f64 (-.f64 1 z) -1)
1.0ms	z	@	0	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
1.0ms	z	@	-inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
1.0ms	z	@	inf	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite608.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	329
1	1632	329

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))) 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simplify201.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1102×	`+-commutative`
974×	`associate-/r*`
774×	`associate-/l*`
538×	`associate-*r/`
490×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	6493
1	898	5023
2	3983	4791

Stop Event

1×	node limit

Counts

67 → 113

Calls

Call 1

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

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

eval1.5s (1.8%)

Compiler: Compiled 50122 to 39369 computations (21.5% saved)

prune181.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	537	11	548
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	540	12	552

Error

0.3b

Counts

552 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (pow.f64 (-.f64 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))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	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 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.7b	(.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 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
▶	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

Compiler

Compiled 1455 to 1193 computations (18% saved)

localize162.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 391 to 305 computations (22% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	200
1	1333	200

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

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

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

Outputs

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

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simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

42 → 69

Calls

Call 1

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

localize67.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) z)
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 149 to 111 computations (25.5% saved)

series9.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite118.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs

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

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

(*.f64 (PI.f64) z)

Outputs

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

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

simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

109 → 120

Calls

Call 1

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

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

localize105.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.0b	(+.f64 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)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

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

((#(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))))))))))

simplify104.0ms (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
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -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)))))
(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))))))
(.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))))
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(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)))))))
(fma.f64 (sqrt.f64 2) (.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 15610294538840654041711114613579/118540800000000000000000000000) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))) (.f64 (sqrt.f64 15/2) (.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (.f64 (exp.f64 -15/2) 185840460885797547300949738751/705600000000000000000000000))))) (.f64 (.f64 z z) (sqrt.f64 (PI.f64)))) (.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)))))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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))))))))
(/.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)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(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)))))))
(+.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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))))))))
(+.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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)))))))
(+.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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)))))))
(+.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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)))))))
(+.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 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 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)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

localize148.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 361 to 282 computations (21.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.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

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

-inf

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

rewrite159.0ms (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	55
1	466	55
2	6806	55

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs

(+.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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simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-r`
1306×	`distribute-lft-in`
1280×	`associate-l`
1164×	`distribute-rgt-in`
634×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	4282
1	475	4190
2	1768	4172

Stop Event

1×	node limit

Counts

54 → 103

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)))))
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(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
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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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000))))
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(+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 1))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))

localize466.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
	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	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 518 to 409 computations (21% saved)

series140.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
124.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
11.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.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 -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)))

rewrite175.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`add-sqr-sqrt`
1510×	`add-exp-log`
1510×	`add-cbrt-cube`
1510×	`add-cube-cbrt`
1510×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	273
1	1565	273

Stop Event

1×	node limit

Counts

3 → 30

Calls

Call 1

Inputs

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

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

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

Outputs

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

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((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 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simplify249.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-+r+`
1234×	`associate-*r/`
1114×	`associate-+l+`
1054×	`associate-*l/`
1028×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	6344
1	923	5596
2	3667	5572

Stop Event

1×	node limit

Counts

54 → 102

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
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(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))

Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) (.f64 -69565428553209127/540000000000000 (.f64 z z)))) -11173853963059511/30000000000000)
(+.f64 (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))) (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000))
(+.f64 (fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000) (fma.f64 -69565428553209127/540000000000000 (.f64 z z) (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z))
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(-.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)))))
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(/.f64 4878157879447497/10000000000000 z)
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))
(.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))
(.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))))

eval2.1s (2.5%)

Compiler: Compiled 48001 to 36639 computations (23.7% saved)

prune444.0ms (0.5%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	705	16	721
Fresh	1	5	6
Picked	0	1	1
Done	5	0	5
Total	711	22	733

Error

Counts

733 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (.f64 (PI.f64) z)))
	1.4b	(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (pow.f64 (-.f64 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))))))))
	1.6b	(.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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.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)))))))
▶	62.8b	(.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z 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))))) 1106209385320415913103082059/4200000000000000000000000))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.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 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	0.9b	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (fma.f64 40269435042492127/90000000000000 z (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	1.5b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
▶	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	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)))
	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.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))))
	39.0b	(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)))))))))))

Compiler

Compiled 1871 to 1555 computations (16.9% saved)

localize149.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.5b	(*.f64 -9487795309719323173/900000000000000000 z)
	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 283 to 216 computations (23.7% saved)

series7.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	0	(*.f64 -9487795309719323173/900000000000000000 z)
0.0ms	z	@	inf	(*.f64 -9487795309719323173/900000000000000000 z)

rewrite92.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`add-sqr-sqrt`
1028×	`*-un-lft-identity`
1026×	`add-exp-log`
1026×	`add-log-exp`
1026×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	154
1	1071	154

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

Inputs

(*.f64 -9487795309719323173/900000000000000000 z)

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

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

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

simplify145.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1126×	`times-frac`
1050×	`associate-*r/`
936×	`associate-/l*`
862×	`associate-*l/`
750×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	4505
1	688	3977
2	2672	3821

Stop Event

1×	node limit

Counts

25 → 58

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(+.f64 (.f64 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -444344332714102833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)
(log.f64 (exp.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(cbrt.f64 (.f64 (.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -9487795309719323173/900000000000000000 z)) (*.f64 -9487795309719323173/900000000000000000 z)))
(expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -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)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))
✓	0.0b	(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)
✓	0.4b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 136 to 112 computations (17.6% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	inf	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	0	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))

rewrite122.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	163
1	528	119
2	6859	119

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

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

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

(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))

Outputs

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

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

simplify233.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l/`
1162×	`associate-/r/`
642×	`associate-+r+`
584×	`associate-r`
578×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	5537
1	799	5343
2	3789	5151

Stop Event

1×	node limit

Counts

95 → 137

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))
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(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 z 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))
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(.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))) 1)
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 z (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) z)
(/.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (/.f64 z (sqrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))))
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(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 z))
(pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 2))
(log.f64 (exp.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 3))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(exp.f64 (.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (-.f64 15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.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 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (*.f64 z (sqrt.f64 2))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (.f64 (.f64 (sqrt.f64 2) (.f64 z z)) (sqrt.f64 (PI.f64))))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125)) 1/6))))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) (+.f64 13/30 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)))) (.f64 z (sqrt.f64 2))))) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))
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(log.f64 (exp.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z)) 3))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (/.f64 (pow.f64 z -2) z)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (pow.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) 3)))
(cbrt.f64 (.f64 (/.f64 (pow.f64 z -2) z) (.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) 3) 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000)))
(cbrt.f64 (.f64 (/.f64 1 (pow.f64 z 3)) (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 z 3)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) (log.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) 1))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))) 1)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 z -15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 1)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 2)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) 3)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2)))
(sqrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z))) 2))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 (-.f64 15/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) 3))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (*.f64 (+.f64 (-.f64 15/2 z) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 (-.f64 15/2 z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) 1/3)
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))
(sqrt.f64 (.f64 2 (.f64 (PI.f64) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))

localize58.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 z (exp.f64 -15/2))
✓	0.5b	(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
✓	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 59 to 47 computations (20.3% saved)

series9.0ms (0%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
2.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms	z	@	inf	(/.f64 z (exp.f64 -15/2))
1.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
1.0ms	z	@	0	(/.f64 z (exp.f64 -15/2))

rewrite177.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`associate-/l/`
392×	`add-sqr-sqrt`
374×	`*-un-lft-identity`
372×	`pow1`
362×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	102
1	398	102
2	5163	102

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify219.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1484×	`unswap-sqr`
1016×	`distribute-rgt-in`
1016×	`distribute-lft-in`
564×	`associate-r`
564×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	342	6105
1	867	5895
2	4576	5895

Stop Event

1×	node limit

Counts

161 → 225

Calls

Call 1

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

localize178.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 3464024008321714637421/25000000000000000000000 z)
✓	0.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z 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 189 to 114 computations (39.7% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z 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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z 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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
0.0ms	z	@	0	(/.f64 3464024008321714637421/25000000000000000000000 z)
0.0ms	z	@	inf	(/.f64 3464024008321714637421/25000000000000000000000 z)

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`add-sqr-sqrt`
642×	`*-un-lft-identity`
640×	`pow1`
638×	`add-exp-log`
636×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	100
1	670	96

Stop Event

1×	node limit

Counts

2 → 32

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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))

(/.f64 3464024008321714637421/25000000000000000000000 z)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3464024008321714637421/25000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z))) (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 3464024008321714637421/25000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3464024008321714637421/25000000000000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2) (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))))

simplify232.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-*r/`
1176×	`associate-*l/`
1048×	`associate-/l*`
1044×	`associate-/r*`
598×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	5644
1	733	4600
2	3122	4578

Stop Event

1×	node limit

Counts

44 → 83

Calls

Call 1

Inputs
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(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 7902188421553103227/30000000000000000)) 3) (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))) 3)) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 7902188421553103227/30000000000000000)) (.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))) 7902188421553103227/30000000000000000))) (-.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 7902188421553103227/30000000000000000)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))) 1)
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))))) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))) 2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))
(*.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)
(*.f64 1 (/.f64 3464024008321714637421/25000000000000000000000 z))
(*.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))) (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(*.f64 (/.f64 1 z) 3464024008321714637421/25000000000000000000000)
(*.f64 -3464024008321714637421/25000000000000000000000 (/.f64 1 (neg.f64 z)))
(*.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2) (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2))
(pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)
(log.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(cbrt.f64 (.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))))
(expm1.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(exp.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))

Outputs
(.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))
(.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 5195971728131790397167/6250000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (/.f64 (sqrt.f64 2) z)) (exp.f64 -15/2)))))
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (exp.f64 -15/2)) (.f64 5195971728131790397167/6250000000000000000000 (exp.f64 -15/2)))))) z) (sqrt.f64 (PI.f64))) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))))
(fma.f64 (/.f64 (sqrt.f64 2) (/.f64 z (fma.f64 5195971728131790397167/6250000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 24247910920848876226089/25000000000000000000000))))) (sqrt.f64 (PI.f64)) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
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(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z)))))) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))) 2)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))))) (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))) 2)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))) 3))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 7902188421553103227/30000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 7902188421553103227/30000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 7902188421553103227/30000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (.f64 z z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64)))))
(*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(*.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)
(/.f64 3464024008321714637421/25000000000000000000000 z)
(*.f64 1 (/.f64 3464024008321714637421/25000000000000000000000 z))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(*.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))) (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (cbrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))))
(*.f64 (/.f64 1 z) 3464024008321714637421/25000000000000000000000)
(/.f64 3464024008321714637421/25000000000000000000000 z)
(*.f64 -3464024008321714637421/25000000000000000000000 (/.f64 1 (neg.f64 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(*.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2) (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1/2))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)
(/.f64 3464024008321714637421/25000000000000000000000 z)
(log.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(cbrt.f64 (.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (.f64 z z))))
(cbrt.f64 (/.f64 (/.f64 41566425598866109048290967571853173086625362111966152679251169461/15625000000000000000000000000000000000000000000000000000000000000000 z) (*.f64 z z)))
(expm1.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(exp.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)
(log1p.f64 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(/.f64 3464024008321714637421/25000000000000000000000 z)

localize479.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
	1.0b	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 582 to 485 computations (16.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
1.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	0	(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
0.0ms	z	@	inf	(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

rewrite159.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1058×	`add-exp-log`
1058×	`add-cbrt-cube`
1058×	`add-log-exp`
1058×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	200
1	1076	200

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 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simplify116.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`fma-def`
1224×	`associate-+r+`
1020×	`associate-+l-`
964×	`associate-/r*`
840×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	3710
1	469	3052
2	2120	2416
3	6102	2416

Stop Event

1×	node limit

Counts

46 → 91

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
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(*.f64 904338909853211/2500000000000 z)
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4560878540298521/15000000000000
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(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
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(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
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(pow.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
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(exp.f64 (log.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
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Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z) (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z (.f64 (.f64 3071077024184708161128044520019/118540800000000000000000000000 z) z)))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z z) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 904338909853211/2500000000000 z)
(*.f64 z 904338909853211/2500000000000)
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(+.f64 (*.f64 z 904338909853211/2500000000000) 479507597606835099/10000000000000000)
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
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(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 z 904338909853211/2500000000000) 469507597606837/10000000000000) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 2 (-.f64 1 z)) 3))) (fma.f64 (+.f64 (.f64 z 904338909853211/2500000000000) 469507597606837/10000000000000) (+.f64 (.f64 z 904338909853211/2500000000000) 469507597606837/10000000000000) (.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (+.f64 (*.f64 z 904338909853211/2500000000000) 469507597606837/10000000000000)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)) (*.f64 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (fma.f64 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))))
(pow.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1)
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (exp.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 (+.f64 469507597606837/10000000000000 (.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))
(+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

eval1.7s (2.1%)

Compiler: Compiled 37184 to 29266 computations (21.3% saved)

prune586.0ms (0.7%)

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	714	28	742
Fresh	9	7	16
Picked	1	0	1
Done	3	2	5
Total	727	37	764

Error

Counts

764 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (.f64 (PI.f64) z)))
	2.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
	1.8b	(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
	1.9b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
	1.8b	(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
	2.4b	(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
▶	1.3b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
	62.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (pow.f64 (-.f64 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))))))))
	1.6b	(.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 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	1.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
	1.8b	(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	1.2b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
	1.3b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	1.5b	(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	2.2b	(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
▶	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.3b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
	1.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
	1.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
	1.2b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
▶	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
	52.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
	52.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
	52.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
	52.4b	(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
▶	52.5b	(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
	39.0b	(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)))))))))))

Compiler

Compiled 2100 to 1806 computations (14% saved)

localize323.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
	1.0b	(+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
✓	1.0b	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 499 to 411 computations (17.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

970×	`add-sqr-sqrt`
924×	`add-exp-log`
924×	`add-cbrt-cube`
924×	`add-log-exp`
924×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	172
1	940	172

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (*.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))))

simplify107.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1266×	`fma-def`
1170×	`associate-+r+`
994×	`associate-+l-`
898×	`*-commutative`
800×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2950
1	442	2518
2	2024	2106
3	5749	2106

Stop Event

1×	node limit

Counts

46 → 86

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 3386342337373783631102252520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 3386342337373783631102252520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 63212433373390321266541667723333/6638284800000000000000000000000 (pow.f64 z 3)))))
(*.f64 3511974183497980887/10000000000000000 z)
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(-.f64 (+.f64 62984711258857409/10000000000000000 (.f64 3511974183497980887/10000000000000000 z)) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 62984711258857409/10000000000000000 (.f64 3511974183497980887/10000000000000000 z)) (+.f64 (.f64 14457118317852863834602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))))
(*.f64 3511974183497980887/10000000000000000 z)
(+.f64 62984711258857409/10000000000000000 (*.f64 3511974183497980887/10000000000000000 z))
(-.f64 (+.f64 62984711258857409/10000000000000000 (.f64 3511974183497980887/10000000000000000 z)) (.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 62984711258857409/10000000000000000 (.f64 3511974183497980887/10000000000000000 z)) (+.f64 (.f64 14457118317852863834602833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 19279621695433005785362579/25000000000000000000000 (/.f64 1 z))))
9151757080597036297/30000000000000000
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(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(*.f64 904338909853211/2500000000000 z)
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (.f64 7713234287776531/10000000000000 (/.f64 1 z)))
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(*.f64 904338909853211/2500000000000 z)
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(-.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (.f64 7713234287776531/10000000000000 (/.f64 1 z)))
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(pow.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 (fma.f64 -105381455914863113/10000000000000000 z -41652288634797769/1000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(.f64 (.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(cbrt.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))

Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 3386342337373783631102252520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 3386342337373783631102252520019/118540800000000000000000000000 (.f64 z z) (.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000) (.f64 z (.f64 z 3386342337373783631102252520019/118540800000000000000000000000)))
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(+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))) (-.f64 -459507597606838901/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 -459507597606838901/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)) (-.f64 (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)) 99999999999961980000000003613801/100000000000000000000000000000000) (-.f64 -459507597606838901/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (.f64 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) (-.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))) 9999999999998099/10000000000000000))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)) (fma.f64 (+.f64 469507597606837/10000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 459507597606838901/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)) 3)) (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)) (+.f64 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 459507597606838901/10000000000000000) 99999999999961980000000003613801/100000000000000000000000000000000))
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(+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(+.f64 479507597606835099/10000000000000000 (fma.f64 z 904338909853211/2500000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
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(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
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localize29.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
✓	0.2b	(.f64 (/.f64 (.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z))
✓	0.2b	(/.f64 (*.f64 2 (PI.f64)) z)
✓	33.6b	(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
1.0ms	z	@	0	(.f64 (/.f64 (.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z))
1.0ms	z	@	inf	(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
0.0ms	z	@	inf	(.f64 (/.f64 (.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z))
0.0ms	z	@	-inf	(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))

rewrite176.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`unswap-sqr`
1156×	`swap-sqr`
456×	`associate-/r/`
360×	`distribute-lft-neg-in`
330×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	124
1	335	122
2	4309	122

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(/.f64 (*.f64 2 (PI.f64)) z)
(.f64 (/.f64 (.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z))
(.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)

Outputs
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simplify290.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`distribute-lft-in`
1264×	`distribute-rgt-in`
808×	`associate-r`
808×	`associate-l`
734×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	8107
1	1324	7775
2	5683	7775

Stop Event

1×	node limit

Counts

245 → 256

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 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(*.f64 2 (/.f64 (PI.f64) z))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.f64 (.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(.f64 2 (/.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 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 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 1/4))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 1/4))))
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(pow.f64 (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (sqrt.f64 (.f64 2 (*.f64 (PI.f64) (exp.f64 -15)))) z)) 1)
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(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3) 1/3)
(neg.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) (neg.f64 z)) (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15))))
(neg.f64 (.f64 (/.f64 (exp.f64 -15) (neg.f64 z)) (.f64 (*.f64 2 (/.f64 (PI.f64) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(neg.f64 (.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 (*.f64 2 (PI.f64)) (neg.f64 z))))
(neg.f64 (.f64 (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (*.f64 2 (/.f64 (PI.f64) z))) (/.f64 (exp.f64 -15) (neg.f64 z))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 2))
(log.f64 (exp.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))

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)))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2))) 1)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (.f64 (.f64 1/2 (/.f64 z (PI.f64))) (/.f64 z (exp.f64 -15))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (.f64 1/2 (/.f64 z (PI.f64))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
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(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
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(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
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(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15))) z)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 (PI.f64) -2) (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15))) (neg.f64 z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) z))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) z)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 2 (.f64 (PI.f64) (exp.f64 -15))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (.f64 z z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (.f64 (*.f64 1/2 (/.f64 z (PI.f64))) z))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(/.f64 (.f64 (neg.f64 (exp.f64 -15)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (.f64 (*.f64 1/2 (/.f64 z (PI.f64))) (neg.f64 z)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 1)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(pow.f64 (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 (sqrt.f64 (.f64 2 (*.f64 (PI.f64) (exp.f64 -15)))) z)) 2)
(pow.f64 (/.f64 (.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (.f64 (*.f64 (PI.f64) 2) (exp.f64 -15)))) z) 2)
(pow.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (/.f64 z (sqrt.f64 (.f64 (exp.f64 -15) (.f64 (PI.f64) 2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 3)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (/.f64 (/.f64 z (PI.f64)) (exp.f64 -15)))) 2))
(fabs.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64)))))
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3) 1/3)
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(neg.f64 (.f64 (/.f64 (.f64 2 (PI.f64)) (neg.f64 z)) (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(neg.f64 (.f64 (/.f64 (exp.f64 -15) (neg.f64 z)) (.f64 (*.f64 2 (/.f64 (PI.f64) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(neg.f64 (.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 (*.f64 2 (PI.f64)) (neg.f64 z))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(neg.f64 (.f64 (.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (*.f64 2 (/.f64 (PI.f64) z))) (/.f64 (exp.f64 -15) (neg.f64 z))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (/.f64 (/.f64 z (PI.f64)) (exp.f64 -15)))) 2))
(fabs.f64 (*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64)))))
(log.f64 (exp.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2))))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)))
(.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (.f64 z (/.f64 z (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15) z) (/.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 z (PI.f64))))

localize77.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z))
✓	0.5b	(/.f64 (exp.f64 -15/2) z)
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 57 to 47 computations (17.5% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite214.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`associate-*r/`
1152×	`associate-*l/`
896×	`associate-/r*`
660×	`associate-/l*`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	365	85
2	4274	85

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify171.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-/l*`
1068×	`distribute-rgt-in`
1068×	`distribute-lft-in`
716×	`times-frac`
654×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	9026
1	1335	9014
2	6207	9014

Stop Event

1×	node limit

Counts

242 → 288

Calls

Call 1

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

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

localize32.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
✓	0.6b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))
✓	1.0b	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 -1/2))
	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 52 to 44 computations (15.4% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite130.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-/l*`
414×	`associate-/l/`
378×	`add-sqr-sqrt`
356×	`*-un-lft-identity`
354×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	383	77
2	4836	65

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

Inputs

(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 15/2 -1/2))

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

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

Outputs

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

simplify210.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1690×	`associate-/r*`
1568×	`associate-/l*`
1006×	`associate-r`
960×	`associate-/r/`
788×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	641	12269
1	1750	12177

Stop Event

1×	node limit

Counts

281 → 373

Calls

Call 1

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

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

localize36.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(/.f64 z (exp.f64 -15/2))
✓	0.5b	(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 77 to 57 computations (26% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
0.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
0.0ms	z	@	inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
0.0ms	z	@	0	(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))
0.0ms	z	@	-inf	(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2)))

rewrite106.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`associate-/l/`
432×	`add-sqr-sqrt`
406×	`*-un-lft-identity`
404×	`pow1`
402×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	462	84
2	5711	84

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs

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

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

Outputs

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(exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (neg.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 z (exp.f64 15/2))) (pow.f64 15/2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))) 1) 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1106209385320415913103082059/4200000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (/.f64 z (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2)))) (cbrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 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simplify116.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-/l/`
1306×	`times-frac`
1154×	`associate-/r*`
964×	`associate-/r/`
854×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	4993
1	631	4931
2	2539	4899

Stop Event

1×	node limit

Counts

105 → 145

Calls

Call 1

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

eval811.0ms (1%)

Compiler: Compiled 33476 to 26877 computations (19.7% saved)

prune348.0ms (0.4%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1286	16	1302
Fresh	17	13	30
Picked	0	1	1
Done	4	2	6
Total	1307	32	1339

Error

Counts

1339 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
	2.1b	(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
	2.5b	(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
	1.9b	(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
	1.2b	(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
	0.8b	(/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (.f64 (PI.f64) z)))
	2.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
	1.3b	(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
	1.3b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
	1.2b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
	1.2b	(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
	2.4b	(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
	62.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
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✓	0.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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✓	2.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
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	53.2b	(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
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	39.2b	(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
	53.2b	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
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Compiler

Compiled 1002 to 850 computations (15.2% saved)

regimes139.0ms (0.2%)

Counts

76 → 1

Calls

Call 1

Inputs
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(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
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(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (pow.f64 (-.f64 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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))

Calls

2 calls:

38.0ms

(*.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)))))

33.0ms

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 2635 to 2067 computations (21.6% saved)

regimes86.0ms (0.1%)

Counts

70 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
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(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
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(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
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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) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.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 (-.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 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2041 to 1575 computations (22.8% saved)

regimes75.0ms (0.1%)

Counts

66 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.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 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.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 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000)))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.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))))))))
(/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (+.f64 z -5)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (sin.f64 (.f64 (PI.f64) z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

(*.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 4560878540298521/15000000000000 (*.f64 z 40269435042492127/90000000000000)))) (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1699 to 1300 computations (23.5% saved)

regimes79.0ms (0.1%)

Counts

61 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.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 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

Calls

1 calls:

42.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1332 to 1021 computations (23.3% saved)

regimes100.0ms (0.1%)

Counts

59 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.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 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1208 to 929 computations (23.1% saved)

regimes88.0ms (0.1%)

Counts

57 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.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 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1100 to 850 computations (22.7% saved)

regimes52.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

Inputs
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (exp.f64 15/2) (sqrt.f64 (/.f64 (PI.f64) 1/15))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 15/2))
(/.f64 (/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 (exp.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) z)
(sqrt.f64 (.f64 (.f64 (/.f64 (*.f64 2 (PI.f64)) z) (/.f64 (exp.f64 -15) z)) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (PI.f64) (/.f64 (.f64 (/.f64 z (exp.f64 -15)) z) 15))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (.f64 z (exp.f64 15/2))))
(/.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (*.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (exp.f64 15/2)))
(sqrt.f64 (.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (/.f64 (.f64 z z) (.f64 15/2 (exp.f64 -15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 (PI.f64) 2) (/.f64 (/.f64 (*.f64 z z) (exp.f64 -15)) 15/2))))
(/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 1/15))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (exp.f64 (+.f64 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) -15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (exp.f64 -15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 z (exp.f64 15/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2))))
(/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (.f64 (PI.f64) 2))) (*.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2) 3/2))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 15/2 -1/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (*.f64 z (exp.f64 15/2))))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 -1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 (exp.f64 15/2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 15/2 -1/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (exp.f64 15/2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (*.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 z) (exp.f64 -15)) (/.f64 z (PI.f64))) 2)) 1/2))
(/.f64 1 (/.f64 (.f64 z (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))))))
(sqrt.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (log.f64 (exp.f64 (.f64 (*.f64 2 (/.f64 (PI.f64) z)) (/.f64 (exp.f64 -15) z)))) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(.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 (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 15/2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 15/2 -1/2)) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 (/.f64 5195971728131790397167/6250000000000000000000 z) z)))) (sqrt.f64 (.f64 2 (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.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 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z (+.f64 40269435042492127/90000000000000 (.f64 z 295755570232608827/540000000000000)))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.2b	1	`z`

Compiler

Compiled 1050 to 816 computations (22.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.2b remaining (-17.5%)

Threshold costs -0.2b (-17.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 25 to 21 computations (16% saved)

simplify193.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

886×	`distribute-lft-neg-in`
830×	`*-commutative`
538×	`distribute-neg-in`
496×	`+-commutative`
432×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	183	1369
1	312	1353
2	352	1353
3	398	1353
4	463	1353
5	540	1353
6	614	1353
7	658	1353
8	702	1353
9	755	1353
10	876	1353
11	1090	1353
12	1383	1353
13	1741	1353
14	2083	1353
15	2370	1353
16	2555	1353
17	2656	1353
18	2693	1353
19	2704	1353
20	2706	1353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.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 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000)))) (-.f64 (.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.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 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))

Outputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 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 (+.f64 -1 z) -6) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (+.f64 (+.f64 -6 (+.f64 z -1)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
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(/.f64 (.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (/.f64 z 1106209385320415913103082059/4200000000000000000000000) (exp.f64 15/2)))
(/.f64 (sqrt.f64 (/.f64 (PI.f64) 1/15)) (*.f64 (exp.f64 15/2) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 z (exp.f64 15/2)) (sqrt.f64 (/.f64 (PI.f64) 1/15))))

Compiler

Compiled 444 to 372 computations (16.2% saved)

soundness211.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 124 to 110 computations (11.3% saved)

end196.0ms (0.2%)

Compiler: Compiled 436 to 341 computations (21.8% saved)