Details

analyze1.0s (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample59.7s (72.3%)

Results

55.1s	3857×	body	8192	exit
4.5s	8256×	body	256	valid
46.0ms	97×	body	256	unsamplable
35.0ms	74×	body	256	infinite

Bogosity

preprocess52.0ms (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)

simplify55.0ms (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)

prune19.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	5	5
Fresh	1	1
Picked	0	0
Done	0	0
Total	6	6

Error

0.3b

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 948 to 806 computations (15% saved)

localize335.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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)))
✓	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)))
✓	7.6b	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series51.0ms (0.1%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	z	@	inf	(.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)))
2.0ms	z	@	0	(.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)))
1.0ms	z	@	-inf	(.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)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms	z	@	-inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite68.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`add-sqr-sqrt`
770×	`*-un-lft-identity`
768×	`pow1`
766×	`add-exp-log`
766×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	150
1	844	140

Stop Event

1×	node limit

Counts

4 → 52

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(.f64 (.f64 (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)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 z 0) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 z 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 0 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 0 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 0 z)) (sqrt.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 0 z)) (.f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (-.f64 0 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (-.f64 0 z))) (cbrt.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.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 0 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (-.f64 0 z) (.f64 (-.f64 0 z) (-.f64 0 z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 0 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.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 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))))

simplify100.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-+r-`
892×	`associate-+l+`
858×	`associate-+r+`
556×	`+-commutative`
420×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	3286
1	643	2974
2	2754	2622
3	7445	2612

Stop Event

1×	node limit

Counts

88 → 117

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z 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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))))) (.f64 (.f64 z z) (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (.f64 z (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))))))))
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(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(cbrt.f64 (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.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))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (PI.f64) (.f64 2 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2)))) 1)
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(log.f64 (exp.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2))))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2))) (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2))))))))))
(cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -1/2 (+.f64 z -7))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7))))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(exp.f64 (log.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 -1 (+.f64 z -6)) -1/2))))))
(.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1 (+.f64 (+.f64 z -6) -1/2)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -1/2 (+.f64 z -7)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))

localize223.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 498 to 393 computations (21.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms	z	@	-inf	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite143.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	117
1	466	117
2	6806	117

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 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Outputs

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simplify166.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

924×	`associate--r+`
782×	`associate-*r/`
672×	`associate-*l/`
568×	`associate--l+`
508×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	11627
1	1274	11231
2	5246	11183

Stop Event

1×	node limit

Counts

163 → 264

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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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000)))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 9999999999998099/10000000000000000)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 z 3))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Outputs
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 (.f64 295755570232608827/540000000000000 z) z)))
(+.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)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) (fma.f64 1967803238479727281/3240000000000000 (pow.f64 z 3) (.f64 (.f64 295755570232608827/540000000000000 z) z)))
(/.f64 -943522900885677/5000000000000 z)
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(/.f64 -943522900885677/5000000000000 z)
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(neg.f64 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
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(-.f64 (/.f64 -12909371801155759/5000000000000 (pow.f64 z 3)) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (+.f64 (/.f64 943522900885677/5000000000000 z) (/.f64 28572848028348241/2500000000000 (pow.f64 z 4)))))
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9151757080597036297/30000000000000000
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(+.f64 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))) 9151757080597036297/30000000000000000)
(+.f64 (.f64 (.f64 295755570232608827/540000000000000 z) z) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))
(+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 40269435042492127/90000000000000 z) (+.f64 (.f64 295755570232608827/540000000000000 (pow.f64 z 2)) (*.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 40269435042492127/90000000000000 z (fma.f64 295755570232608827/540000000000000 (.f64 z z) (.f64 1967803238479727281/3240000000000000 (pow.f64 z 3)))) 9151757080597036297/30000000000000000)
(+.f64 (fma.f64 1967803238479727281/3240000000000000 (pow.f64 z 3) (.f64 (.f64 295755570232608827/540000000000000 z) z)) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
(-.f64 9999999999998099/10000000000000000 (/.f64 943522900885677/5000000000000 z))
(+.f64 9999999999998099/10000000000000000 (/.f64 -943522900885677/5000000000000 z))
(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (.f64 943522900885677/5000000000000 (/.f64 1 z))))
(-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))
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(-.f64 9999999999998099/10000000000000000 (+.f64 (.f64 12909371801155759/5000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 1180530552525097/2500000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))))
(-.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 12909371801155759/5000000000000 (pow.f64 z 3))) (+.f64 (/.f64 1180530552525097/2500000000000 (*.f64 z z)) (/.f64 943522900885677/5000000000000 z)))
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7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
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(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (.f64 z z) 7713234287776531/270000000000000 (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
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(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
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(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
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(/.f64 -7713234287776531/10000000000000 z)
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 9999999999998099/10000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 19999999999998099/10000000000000000) -1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.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 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))
(.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (+.f64 9 (.f64 z (+.f64 z 3))))
(*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 z 3) 9))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(pow.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -1)
(/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(sqrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(/.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))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(/.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))
(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))

localize223.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 477 to 364 computations (23.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`add-sqr-sqrt`
946×	`add-exp-log`
946×	`add-log-exp`
944×	`add-cbrt-cube`
944×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	179
1	979	179

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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))))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))))) (#(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 (/.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 -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 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.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))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (+.f64 (/.f64 -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 -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 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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 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simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1084×	`associate-+r+`
1076×	`associate-+l+`
996×	`*-commutative`
826×	`+-commutative`
450×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	4344
1	679	3842
2	2865	3502

Stop Event

1×	node limit

Counts

64 → 111

Calls

Call 1

Inputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
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(/.f64 -121443148578839881/200000000000000 z)
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(/.f64 -121443148578839881/200000000000000 z)
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.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)))
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(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))
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(/.f64 (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (.f64 (+.f64 (/.f64 -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 -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 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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.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))))) 3)) (+.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (+.f64 (/.f64 -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 -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 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)))))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 9999999999998099/10000000000000000 (+.f64 (/.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 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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)))))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
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(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
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(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
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(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))

Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(fma.f64 39321001939258358983/90000000000000000 z 7902188421553103227/30000000000000000)
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(+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000))))
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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646366562873259793/3000000000000000
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(/.f64 -121443148578839881/200000000000000 z)
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(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(/.f64 (-.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))
(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)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(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)))
(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)))
(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)))

localize246.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 668 to 560 computations (16.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	291
1	1145	291

Stop Event

1×	node limit

Counts

3 → 34

Calls

Call 1

Inputs

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

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

(+.f64 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))))

Outputs

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simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1040×	`+-commutative`
1022×	`associate-+l-`
958×	`associate-+r-`
872×	`*-commutative`
508×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	5560
1	659	4956
2	2917	4144
3	6402	4144

Stop Event

1×	node limit

Counts

70 → 125

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
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(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
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1106209385320415913103082059/4200000000000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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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)))
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(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(cbrt.f64 (.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

localize313.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	7.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite65.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	149
1	742	133

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2)))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) (*.f64 (*.f64 2 (PI.f64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (+.f64 z 1/2))) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))))))))

simplify103.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 108

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
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eval2.1s (2.6%)

Compiler: Compiled 117810 to 96088 computations (18.4% saved)

prune1.0s (1.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1073	20	1093
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	1077	21	1098

Error

0.3b

Counts

1098 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.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))))))))
	3.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (expm1.f64 (log1p.f64 (+.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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.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))))))))
✓	1.0b	(.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))))))))
▶	1.0b	(.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 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	2.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.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 (-.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)))))
▶	62.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
	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))) 1106209385320415913103082059/4200000000000000000000000)))
▶	55.0b	(.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))) 9999999999998099/10000000000000000)))
	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 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Compiler

Compiled 2695 to 2205 computations (18.2% saved)

localize430.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 467 to 356 computations (23.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite105.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/r*`
1118×	`associate-/r/`
634×	`associate-/l*`
350×	`associate-/l/`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	292	31
2	4112	31

Stop Event

1×	node limit

Counts

1 → 142

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (-.f64 2 z) 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 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simplify175.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-+r+`
884×	`associate-+l+`
720×	`distribute-lft-in`
676×	`distribute-rgt-in`
642×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	11122
1	1666	10740
2	6959	10688

Stop Event

1×	node limit

Counts

154 → 267

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)))))
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(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 2 z) (sqrt.f64 (-.f64 3 z)))) (sqrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (-.f64 2 z) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2))) (cbrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (.f64 (sqrt.f64 (-.f64 2 z)) (sqrt.f64 (-.f64 3 z)))) (*.f64 (sqrt.f64 (-.f64 2 z)) (sqrt.f64 (-.f64 3 z))))
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (sqrt.f64 (-.f64 3 z))) (sqrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (cbrt.f64 (-.f64 3 z))) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2))
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2)) (cbrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (-.f64 9 (.f64 z z))) (/.f64 1 (+.f64 z 3)))
(/.f64 (/.f64 (/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (-.f64 2 z)) (-.f64 27 (pow.f64 z 3))) (/.f64 1 (+.f64 9 (.f64 z (+.f64 z 3)))))
(/.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) (-.f64 2 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (+.f64 -3 z)) (.f64 (-.f64 2 z) -7713234287776531/10000000000000)) (-.f64 2 z)) (+.f64 -3 z))
(/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z))
(/.f64 (/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 1)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 -3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) -7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (+.f64 -3 z))
(/.f64 (/.f64 (+.f64 (.f64 3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (+.f64 -2 z) 7713234287776531/10000000000000)) (+.f64 -2 z)) (-.f64 3 z))
(/.f64 (/.f64 (+.f64 (.f64 3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (.f64 (+.f64 -2 z) 1)) (+.f64 -2 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(/.f64 (/.f64 (+.f64 (.f64 3147848041806007/2500000000000 (+.f64 -3 z)) (.f64 (+.f64 -2 z) -7713234287776531/10000000000000)) (+.f64 -2 z)) (+.f64 -3 z))
(/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 7713234287776531/10000000000000 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)))) (-.f64 3 z)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)))
(/.f64 (/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (+.f64 -2 z)) (.f64 (-.f64 3 z) 3147848041806007/2500000000000)) (-.f64 3 z)) (+.f64 -2 z))
(/.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) -3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 2 z))
(/.f64 (/.f64 (+.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) (.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)))
(/.f64 (/.f64 (+.f64 (+.f64 -2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (+.f64 -2 z))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 2 z)) (.f64 (+.f64 -3 z) -3147848041806007/2500000000000)) (+.f64 -3 z)) (-.f64 2 z))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (.f64 (+.f64 -3 z) 1)) (+.f64 -3 z)) (.f64 2500000000000/3147848041806007 (+.f64 -2 z)))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 -2 z)) (.f64 (+.f64 -3 z) 3147848041806007/2500000000000)) (+.f64 -3 z)) (+.f64 -2 z))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

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))
(-.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 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (/.f64 19053539921092667/10000000000000 (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 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
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(/.f64 4878157879447497/10000000000000 z)
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(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 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 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3))))
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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)))))
(+.f64 (/.f64 4878157879447497/10000000000000 z) (-.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (-.f64 (/.f64 4878157879447497/10000000000000 z) (+.f64 (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)) (/.f64 107526188432174113/10000000000000 (pow.f64 z 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (-.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (expm1.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (-.f64 2 z) 2))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))) (pow.f64 (-.f64 2 z) 2))) (/.f64 (/.f64 -59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))))
(-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(-.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (expm1.f64 (log1p.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
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(/.f64 (+.f64 (-.f64 2 z) (.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))) (.f64 (-.f64 2 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (fma.f64 -3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (-.f64 2 z)) (*.f64 (-.f64 2 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (/.f64 (+.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) (.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)))
(/.f64 (fma.f64 2500000000000/3147848041806007 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 -5000000000000/3147848041806007 (.f64 2500000000000/3147848041806007 z))))
(/.f64 (fma.f64 (+.f64 z -2) 2500000000000/3147848041806007 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (.f64 (+.f64 z -2) (.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 2500000000000/3147848041806007)))
(/.f64 (-.f64 (+.f64 (.f64 z 2500000000000/3147848041806007) 55869269815297555000000000000/24280089448768304182713669421717) (/.f64 z 7713234287776531/10000000000000)) (.f64 (+.f64 z -2) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 2500000000000/3147848041806007)))
(/.f64 (/.f64 (+.f64 (+.f64 -2 z) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (+.f64 -2 z))
(/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 z -2)) (*.f64 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (fma.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 3147848041806007/2500000000000 (+.f64 z -2)) (*.f64 (+.f64 z -2) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (-.f64 2 z)) (.f64 (+.f64 -3 z) -3147848041806007/2500000000000)) (+.f64 -3 z)) (-.f64 2 z))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (-.f64 2 z) (.f64 -3147848041806007/2500000000000 (+.f64 z -3))) (.f64 (-.f64 2 z) (+.f64 z -3)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 z -2) (+.f64 9443544125418021/2500000000000 (.f64 z -3147848041806007/2500000000000))) (.f64 (-.f64 3 z) (+.f64 z -2)))
(/.f64 (+.f64 (+.f64 (.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2)))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (.f64 (+.f64 -3 z) 1)) (+.f64 -3 z)) (.f64 2500000000000/3147848041806007 (+.f64 -2 z)))
(/.f64 (+.f64 -3 (+.f64 z (.f64 -7713234287776531/12591392167224028 (+.f64 z -2)))) (.f64 (+.f64 z -3) (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z))))
(/.f64 (fma.f64 -7713234287776531/12591392167224028 (+.f64 z -2) (+.f64 z -3)) (.f64 (+.f64 z -2) (.f64 (+.f64 z -3) 2500000000000/3147848041806007)))
(/.f64 (+.f64 z (+.f64 (.f64 -7713234287776531/12591392167224028 z) -11173853963059511/6295696083612014)) (.f64 (+.f64 z -2) (*.f64 (+.f64 z -3) 2500000000000/3147848041806007)))
(/.f64 (/.f64 (+.f64 (.f64 -7713234287776531/10000000000000 (+.f64 -2 z)) (.f64 (+.f64 -3 z) 3147848041806007/2500000000000)) (+.f64 -3 z)) (+.f64 -2 z))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (+.f64 z -2) (.f64 (+.f64 z -3) 3147848041806007/2500000000000)) (.f64 (+.f64 z -3) (+.f64 z -2)))
(/.f64 (fma.f64 (+.f64 z -3) 3147848041806007/2500000000000 (+.f64 7713234287776531/5000000000000 (.f64 z -7713234287776531/10000000000000))) (.f64 (+.f64 z -3) (+.f64 z -2)))
(/.f64 (+.f64 (+.f64 (.f64 z -7713234287776531/10000000000000) -11173853963059511/5000000000000) (.f64 z 3147848041806007/2500000000000)) (*.f64 (+.f64 z -3) (+.f64 z -2)))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 3)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) 1/3)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(fabs.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

localize68.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) z)
✓	0.3b	(.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))) 9999999999998099/10000000000000000)))
✓	0.4b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 149 to 111 computations (25.5% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
2.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
0.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite149.0ms (0.2%)

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 (PI.f64) (sin.f64 (*.f64 (PI.f64) 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))) 9999999999998099/10000000000000000)))

(*.f64 (PI.f64) z)

Outputs

((#(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 (/.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)) 9999999999998099/10000000000000000)))))) 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)) 9999999999998099/10000000000000000)))))))) (#(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)) 9999999999998099/10000000000000000))))))))) (#(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 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (sin.f64 (*.f64 (PI.f64) 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)) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 9999999999998099/10000000000000000)))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 9999999999998099/10000000000000000)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 9999999999998099/10000000000000000)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 9999999999998099/10000000000000000))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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)) 9999999999998099/10000000000000000))))))))))

((#(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)))))))

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-/r*`
1406×	`distribute-lft-in`
554×	`associate-r`
554×	`associate-+l+`
538×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	5319
1	856	5165
2	3587	5141

Stop Event

1×	node limit

Counts

109 → 120

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(*.f64 z (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.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)) 9999999999998099/10000000000000000)))))) 1)
(/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))))
(/.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)) 9999999999998099/10000000000000000))))))
(/.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)) 9999999999998099/10000000000000000))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (.f64 (neg.f64 (PI.f64)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) 1) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (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)) 9999999999998099/10000000000000000)))) (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)) 9999999999998099/10000000000000000))))) (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)) 9999999999998099/10000000000000000)))) 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)) 9999999999998099/10000000000000000))))) 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)) 9999999999998099/10000000000000000))))) 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)) 9999999999998099/10000000000000000)))) 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)) 9999999999998099/10000000000000000)))) 2))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (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)) 9999999999998099/10000000000000000)))))))
(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)) 9999999999998099/10000000000000000)))) 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)) 9999999999998099/10000000000000000))) 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)) 9999999999998099/10000000000000000))) 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)) 9999999999998099/10000000000000000))))))
(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)) 9999999999998099/10000000000000000))))))
(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)) 9999999999998099/10000000000000000))))) 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)) 9999999999998099/10000000000000000))))))
(-.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 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))
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(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(/.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)) 9999999999998099/10000000000000000))))) (neg.f64 (sin.f64 (.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.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)) 9999999999998099/10000000000000000)))) 1)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))))) 2)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))))) 3)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000)))) 3) 1/3)
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))))) 2))
(fabs.f64 (.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2))))))
(fabs.f64 (.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (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)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (log.f64 (pow.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 (PI.f64) 2))) (log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 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)) 9999999999998099/10000000000000000)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000)))) 3))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))) 3)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(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)) 9999999999998099/10000000000000000))))) 1))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 z))) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (PI.f64) (/.f64 (.f64 9999999999998099/10000000000000000 (.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 (PI.f64) 2)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 9999999999998099/10000000000000000) (exp.f64 (-.f64 15/2 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))

localize101.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) z)
	0.4b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.5b	(.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 212 to 148 computations (30.2% saved)

series8.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

7.0ms

inf

(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))

1.0ms

(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))

0.0ms

-inf

(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`associate-/l*`
458×	`add-sqr-sqrt`
438×	`+-commutative`
432×	`add-exp-log`
432×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	57
1	449	41
2	6345	41

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs

(*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))

Outputs

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simplify142.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-/l*`
1164×	`*-commutative`
1092×	`associate-/r*`
1042×	`associate-/r/`
972×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	4617
1	633	4363
2	2511	4343

Stop Event

1×	node limit

Counts

65 → 117

Calls

Call 1

Inputs
(*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2)))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (+.f64 (.f64 1078390842009938509147167/12500000000000000000000 (exp.f64 -15/2)) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 359463614003312836382389/12500000000000000000000 (exp.f64 -15/2)) (.f64 -611458333333720910362579/50000000000000000000000 (exp.f64 -15/2)))) z) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) (pow.f64 z 2))) (+.f64 (.f64 1078390842009938509147167/12500000000000000000000 (exp.f64 -15/2)) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) z))))))))
(*.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 z 15/2)))
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(.f64 9999999999998099/10000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))
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(+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (pow.f64 z 2))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))))))
(+.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) 9999999999998099/10000000000000000) (.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))
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(/.f64 1 (/.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))))
(/.f64 1 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 2))))
(/.f64 1 (/.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) (-.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 9999999999998099/10000000000000000)))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 3))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))))
(/.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))))
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(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 2)) (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 1 (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 2)) (/.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)) (exp.f64 (+.f64 -15/2 z))))
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(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 3)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) (-.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z) 9999999999998099/10000000000000000)))))
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(log.f64 (pow.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))) (exp.f64 (+.f64 -15/2 z))))
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Outputs
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(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z))) 3))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)) 3)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)) 3) (pow.f64 (exp.f64 (+.f64 -15/2 z)) 3)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(exp.f64 (+.f64 (+.f64 -15/2 z) (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(exp.f64 (*.f64 (+.f64 (+.f64 -15/2 z) (log.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))) 1))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(fma.f64 (exp.f64 (+.f64 -15/2 z)) 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))
(fma.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 -15/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) 611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 z)) z)))

localize196.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.9b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 391 to 305 computations (22% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms	z	@	0	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms	z	@	-inf	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
0.0ms	z	@	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)))

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`add-sqr-sqrt`
556×	`add-exp-log`
556×	`add-log-exp`
556×	`log1p-expm1-u`
556×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	62
1	570	62

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

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

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

Outputs

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(sqrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)) 2) (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (fma.f64 40269435042492127/90000000000000 z 4560878540298521/15000000000000) 2)) (/.f64 1 (-.f64 -9091757080597047703/30000000000000000 (*.f64 40269435042492127/90000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (/.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (-.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 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simplify145.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r*`
1104×	`unswap-sqr`
778×	`+-commutative`
550×	`associate-+r+`
504×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	7374
1	938	7140
2	3484	7024

Stop Event

1×	node limit

Counts

114 → 168

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))
-6251307572601308353/150000000000000000
(-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000)
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(/.f64 2053078212233992689/12500000000000000 z)
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(expm1.f64 (log1p.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)))
(exp.f64 (log.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)))
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(/.f64 (neg.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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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)
(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
(*.f64 40269435042492127/90000000000000 z)
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
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-6251307572601308353/150000000000000000
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.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))))

localize361.0ms (0.4%)

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 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3)))))
✓	1.0b	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 562 to 425 computations (24.4% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))
0.0ms	z	@	inf	(/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z)))
0.0ms	z	@	0	(/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z)))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))
0.0ms	z	@	-inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))

rewrite101.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
540×	`add-exp-log`
540×	`add-cbrt-cube`
540×	`add-log-exp`
540×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	159
1	560	151

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

(/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z)))

(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3))))

(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3)))))

Outputs

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simplify243.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-+r+`
1030×	`associate-+l+`
1000×	`+-commutative`
850×	`associate-*r/`
692×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	12660
1	1095	12304
2	4467	12300

Stop Event

1×	node limit

Counts

144 → 240

Calls

Call 1

Inputs
7713234287776531/90000000000000
(+.f64 7713234287776531/90000000000000 (*.f64 7713234287776531/810000000000000 (pow.f64 z 2)))
(+.f64 7713234287776531/90000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 2)) (.f64 7713234287776531/7290000000000000 (pow.f64 z 4))))
(+.f64 7713234287776531/90000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 2)) (+.f64 (.f64 7713234287776531/65610000000000000 (pow.f64 z 6)) (*.f64 7713234287776531/7290000000000000 (pow.f64 z 4)))))
(/.f64 -7713234287776531/10000000000000 (pow.f64 z 2))
(neg.f64 (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 4)))))
(neg.f64 (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 624771977309899011/10000000000000 (/.f64 1 (pow.f64 z 6))))))
(neg.f64 (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5622947795789091099/10000000000000 (/.f64 1 (pow.f64 z 8))) (+.f64 (.f64 7713234287776531/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 624771977309899011/10000000000000 (/.f64 1 (pow.f64 z 6)))))))
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(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000))))
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(/.f64 (-.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (pow.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (+.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000)) (-.f64 (pow.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
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(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)) 1)
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(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))))
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Outputs
7713234287776531/90000000000000
(+.f64 7713234287776531/90000000000000 (*.f64 7713234287776531/810000000000000 (pow.f64 z 2)))
(+.f64 7713234287776531/90000000000000 (.f64 7713234287776531/810000000000000 (.f64 z z)))
(fma.f64 7713234287776531/810000000000000 (*.f64 z z) 7713234287776531/90000000000000)
(+.f64 7713234287776531/90000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 2)) (.f64 7713234287776531/7290000000000000 (pow.f64 z 4))))
(+.f64 7713234287776531/90000000000000 (fma.f64 7713234287776531/810000000000000 (.f64 z z) (.f64 7713234287776531/7290000000000000 (pow.f64 z 4))))
(+.f64 (fma.f64 7713234287776531/810000000000000 (.f64 z z) 7713234287776531/90000000000000) (.f64 7713234287776531/7290000000000000 (pow.f64 z 4)))
(+.f64 7713234287776531/90000000000000 (+.f64 (.f64 7713234287776531/810000000000000 (pow.f64 z 2)) (+.f64 (.f64 7713234287776531/65610000000000000 (pow.f64 z 6)) (*.f64 7713234287776531/7290000000000000 (pow.f64 z 4)))))
(+.f64 7713234287776531/90000000000000 (fma.f64 7713234287776531/810000000000000 (.f64 z z) (fma.f64 7713234287776531/65610000000000000 (pow.f64 z 6) (.f64 7713234287776531/7290000000000000 (pow.f64 z 4)))))
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(/.f64 -7713234287776531/10000000000000 (pow.f64 z 2))
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(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))) 1))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 9999999999998099/10000000000000000)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 (*.f64 z z) -9)) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))

eval2.1s (2.6%)

Compiler: Compiled 92112 to 69029 computations (25.1% saved)

prune871.0ms (1.1%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1159	28	1187
Fresh	9	6	15
Picked	0	1	1
Done	4	1	5
Total	1172	36	1208

Error

0.0b

Counts

1208 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (.f64 (.f64 (sqrt.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))))))))
▶	1.8b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 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))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.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))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z)))) 3) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.0b	(.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 (exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	55.0b	(.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 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000))))
	62.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))))
▶	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	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))) 1106209385320415913103082059/4200000000000000000000000)))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.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)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (+.f64 (.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2)))) (+.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
	62.6b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
▶	55.0b	(.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))) 9999999999998099/10000000000000000)))
	1.0b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
	55.0b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
	1.9b	(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.9b	(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))) (.f64 (.f64 (sqrt.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))))))))
	2.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))))) (.f64 (.f64 (sqrt.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))))))))
	1.1b	(.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (.f64 (sqrt.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))))))))
	1.1b	(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 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))))))))
	42.4b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 3))) (.f64 (.f64 (sqrt.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))))))))

Compiler

Compiled 4488 to 3618 computations (19.4% saved)

localize295.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 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 558 to 430 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite128.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`add-sqr-sqrt`
756×	`add-exp-log`
756×	`add-cbrt-cube`
756×	`add-log-exp`
756×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	170
1	777	158

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs

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

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

Outputs

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simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1534×	`associate--r+`
1446×	`associate--l+`
1174×	`associate-+l-`
1108×	`associate-+r-`
896×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	3248
1	406	2972
2	1664	2646
3	5078	2646

Stop Event

1×	node limit

Counts

52 → 92

Calls

Call 1

Inputs
-11173853963059511/10000000000000
(-.f64 (*.f64 -3147848041806007/10000000000000 z) 11173853963059511/10000000000000)
(-.f64 (+.f64 (.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (.f64 -3147848041806007/10000000000000 z)) 11173853963059511/10000000000000)
(-.f64 (+.f64 (.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) (+.f64 (.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z))) 11173853963059511/10000000000000)
-4878157879447497/10000000000000
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) 4878157879447497/10000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 z))) 4878157879447497/10000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3147848041806007/625000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 3147848041806007/2500000000000 (/.f64 1 z)))) 4878157879447497/10000000000000)
-4878157879447497/10000000000000
(-.f64 (*.f64 3147848041806007/2500000000000 (/.f64 1 z)) 4878157879447497/10000000000000)
(-.f64 (+.f64 (.f64 3147848041806007/1250000000000 (/.f64 1 (pow.f64 z 2))) (.f64 3147848041806007/2500000000000 (/.f64 1 z))) 4878157879447497/10000000000000)
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(log.f64 (exp.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (+.f64 -5000000000000/3147848041806007 (.f64 z 2500000000000/3147848041806007)))))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (+.f64 -5000000000000/3147848041806007 (.f64 z 2500000000000/3147848041806007)))))
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(.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
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(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
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(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))

Outputs
-11173853963059511/10000000000000
(-.f64 (*.f64 -3147848041806007/10000000000000 z) 11173853963059511/10000000000000)
(fma.f64 -3147848041806007/10000000000000 z -11173853963059511/10000000000000)
(-.f64 (+.f64 (.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (.f64 -3147848041806007/10000000000000 z)) 11173853963059511/10000000000000)
(+.f64 (.f64 -3147848041806007/20000000000000 (.f64 z z)) (fma.f64 -3147848041806007/10000000000000 z -11173853963059511/10000000000000))
(fma.f64 -3147848041806007/20000000000000 (*.f64 z z) (fma.f64 -3147848041806007/10000000000000 z -11173853963059511/10000000000000))
(fma.f64 -3147848041806007/10000000000000 z (fma.f64 z (*.f64 z -3147848041806007/20000000000000) -11173853963059511/10000000000000))
(-.f64 (+.f64 (.f64 -3147848041806007/40000000000000 (pow.f64 z 3)) (+.f64 (.f64 -3147848041806007/20000000000000 (pow.f64 z 2)) (*.f64 -3147848041806007/10000000000000 z))) 11173853963059511/10000000000000)
(+.f64 (fma.f64 -3147848041806007/40000000000000 (pow.f64 z 3) (fma.f64 -3147848041806007/20000000000000 (.f64 z z) (.f64 -3147848041806007/10000000000000 z))) -11173853963059511/10000000000000)
(fma.f64 -3147848041806007/40000000000000 (pow.f64 z 3) (fma.f64 -3147848041806007/20000000000000 (*.f64 z z) (fma.f64 -3147848041806007/10000000000000 z -11173853963059511/10000000000000)))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 (fma.f64 (+.f64 z -2) 7713234287776531/12591392167224028 (-.f64 3 z)) (*.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) 11173853963059511/6295696083612014) z) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) (-.f64 11173853963059511/6295696083612014 z)) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 (fma.f64 (+.f64 z -2) 7713234287776531/12591392167224028 (-.f64 3 z)) (*.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) 11173853963059511/6295696083612014) z) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) (-.f64 11173853963059511/6295696083612014 z)) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 (fma.f64 (+.f64 z -2) 7713234287776531/12591392167224028 (-.f64 3 z)) (*.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) 11173853963059511/6295696083612014) z) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) (-.f64 11173853963059511/6295696083612014 z)) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (+.f64 z -2) 7713234287776531/12591392167224028)) (.f64 (-.f64 3 z) (+.f64 -5000000000000/3147848041806007 (*.f64 z 2500000000000/3147848041806007)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 (fma.f64 (+.f64 z -2) 7713234287776531/12591392167224028 (-.f64 3 z)) (*.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (-.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) 11173853963059511/6295696083612014) z) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (.f64 z 7713234287776531/12591392167224028) (-.f64 11173853963059511/6295696083612014 z)) (.f64 (-.f64 3 z) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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))) 9999999999998099/10000000000000000))
✓	0.1b	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
✓	0.3b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 136 to 112 computations (17.6% saved)

series23.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	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))) 9999999999998099/10000000000000000)))
4.0ms	z	@	-inf	(.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))) 9999999999998099/10000000000000000))
2.0ms	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))) 9999999999998099/10000000000000000)))
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))) 9999999999998099/10000000000000000)))
1.0ms	z	@	0	(.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))) 9999999999998099/10000000000000000))

rewrite103.0ms (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	189
1	528	135
2	6859	135

Stop Event

1×	node limit

Counts

3 → 73

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))) 9999999999998099/10000000000000000)))

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

(*.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))) 9999999999998099/10000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000))))))) (#(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)) 9999999999998099/10000000000000000))))))) (#(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)) 9999999999998099/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (/.f64 z (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)) 9999999999998099/10000000000000000))) (/.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)) 9999999999998099/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) 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)) 9999999999998099/10000000000000000)))))))) (#(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 9999999999998099/10000000000000000))))) (#(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)) 9999999999998099/10000000000000000)) -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)) 9999999999998099/10000000000000000))) (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)) 9999999999998099/10000000000000000)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 15/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (exp.f64 (+.f64 z -13/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 15/2 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 15/2 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 15/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (-.f64 15/2 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z))))))))

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simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/r/`
1312×	`associate-/l/`
692×	`associate-+r+`
668×	`associate-r`
614×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	6385
1	863	6067
2	4266	5899

Stop Event

1×	node limit

Counts

109 → 152

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (.f64 (sqrt.f64 2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(exp.f64 -15/2)
(+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 z 3))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (exp.f64 -15/2) z) (.f64 1/2 (*.f64 (exp.f64 -15/2) (pow.f64 z 2))))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.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)))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.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)))) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) (pow.f64 z 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 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 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 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 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
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(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000)) 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)) 9999999999998099/10000000000000000))) (/.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)) 9999999999998099/10000000000000000)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) 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)) 9999999999998099/10000000000000000)))))
(/.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 9999999999998099/10000000000000000))
(/.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)) 9999999999998099/10000000000000000)) -1) (neg.f64 z))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) (neg.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)) 1) z)
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)) (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)) 9999999999998099/10000000000000000)) (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)) 9999999999998099/10000000000000000))) (neg.f64 z))
(pow.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000) (/.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)) 9999999999998099/10000000000000000)) 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)) 9999999999998099/10000000000000000)) 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)) 9999999999998099/10000000000000000)) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (/.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 9999999999998099/10000000000000000)) (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 9999999999998099/10000000000000000)) (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)) 9999999999998099/10000000000000000) (/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1)
(*.f64 1 (exp.f64 (-.f64 15/2 z)))
(*.f64 (exp.f64 (-.f64 15/2 z)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2))
(*.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z)))
(*.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2))
(/.f64 1 (exp.f64 (-.f64 15/2 z)))
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))
(/.f64 (E.f64) (exp.f64 (+.f64 z -13/2)))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))
(pow.f64 (exp.f64 (-.f64 15/2 z)) 1)
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3)
(pow.f64 (E.f64) (-.f64 15/2 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z)))
(pow.f64 (exp.f64 -1) (-.f64 15/2 z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z))))
(-.f64 (exp.f64 (log1p.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)) 9999999999998099/10000000000000000)))) 1)
(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)) 9999999999998099/10000000000000000)) 1)
(pow.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)) 9999999999998099/10000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) 3)
(pow.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)) 9999999999998099/10000000000000000)) 3) 1/3)
(sqrt.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)) 9999999999998099/10000000000000000)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(log.f64 (+.f64 1 (expm1.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)) 9999999999998099/10000000000000000)))))
(cbrt.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)) 9999999999998099/10000000000000000)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) (pow.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)))
(expm1.f64 (log1p.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)) 9999999999998099/10000000000000000))))
(exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))

Outputs
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z)))) 1)
(exp.f64 (-.f64 15/2 z))
(*.f64 1 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (-.f64 15/2 z))
(*.f64 (exp.f64 (-.f64 15/2 z)) 1)
(exp.f64 (-.f64 15/2 z))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 15/2 z))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2))
(exp.f64 (-.f64 15/2 z))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 2) (cbrt.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 15/2 z))
(*.f64 (exp.f64 (-.f64 1 z)) (exp.f64 13/2))
(exp.f64 (-.f64 15/2 z))
(*.f64 (exp.f64 13/2) (exp.f64 (-.f64 1 z)))
(exp.f64 (-.f64 15/2 z))
(*.f64 (exp.f64 (neg.f64 (-.f64 1 z))) (exp.f64 -13/2))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(/.f64 1 (exp.f64 (-.f64 15/2 z)))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(/.f64 1 (/.f64 (exp.f64 (-.f64 15/2 z)) 1))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(/.f64 (E.f64) (exp.f64 (+.f64 z -13/2)))
(exp.f64 (-.f64 15/2 z))
(/.f64 -1 (neg.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(pow.f64 (exp.f64 (-.f64 15/2 z)) 1)
(exp.f64 (-.f64 15/2 z))
(pow.f64 (exp.f64 (-.f64 15/2 z)) -1)
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 15/2 z))) 2)
(exp.f64 (-.f64 15/2 z))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 15/2 z))) 3)
(exp.f64 (-.f64 15/2 z))
(pow.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 1/3)
(exp.f64 (-.f64 15/2 z))
(pow.f64 (E.f64) (-.f64 15/2 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 15/2 z)) 2)) (cbrt.f64 (-.f64 15/2 z)))
(pow.f64 (exp.f64 -1) (-.f64 15/2 z))
(exp.f64 (-.f64 z 15/2))
(exp.f64 (+.f64 -15/2 z))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 15/2 z))) (sqrt.f64 (-.f64 15/2 z)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))
(fabs.f64 (exp.f64 (-.f64 15/2 z)))
(log.f64 (exp.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 15/2 z))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (-.f64 15/2 z))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3))
(exp.f64 (-.f64 15/2 z))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 15/2 z))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 15/2 z))))
(exp.f64 (-.f64 15/2 z))
(-.f64 (exp.f64 (log1p.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)) 9999999999998099/10000000000000000)))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)) 9999999999998099/10000000000000000)) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(pow.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)) 9999999999998099/10000000000000000))) 2)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(pow.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) 3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(pow.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)) 9999999999998099/10000000000000000)) 3) 1/3)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(sqrt.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)) 9999999999998099/10000000000000000)) 2))
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))))) 2))
(fabs.f64 (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (log.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log.f64 (+.f64 1 (expm1.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)) 9999999999998099/10000000000000000)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)) 3))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) (pow.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(expm1.f64 (log1p.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)) 9999999999998099/10000000000000000))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 9999999999998099/10000000000000000)) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))))
(exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1))
(exp.f64 (+.f64 (+.f64 (-.f64 15/2 z) (log.f64 9999999999998099/10000000000000000)) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))))
(exp.f64 (+.f64 (-.f64 15/2 z) (+.f64 (log.f64 9999999999998099/10000000000000000) (log.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))))
(log1p.f64 (expm1.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)) 9999999999998099/10000000000000000))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))

localize121.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) z)
✓	0.3b	(.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)))))
	0.4b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 170 to 127 computations (25.3% saved)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

(*.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)))))

2.0ms

-inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))

2.0ms

inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))

rewrite115.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	119
1	647	97

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 1106209385320415913103082059/4200000000000000000000000) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 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simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1578×	`associate-/l*`
1284×	`distribute-lft-in`
1208×	`associate-*r/`
1142×	`associate-/r*`
1000×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	5186
1	673	4658
2	2510	4634

Stop Event

1×	node limit

Counts

36 → 64

Calls

Call 1

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

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (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 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (.f64 (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))))
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(cbrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 2)) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 2)) (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))) 2)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 3) (pow.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (.f64 2 (PI.f64))))) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (+.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000))))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))) (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))) 1))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (exp.f64 (-.f64 15/2 z)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(.f64 (.f64 (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000) (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 2 (PI.f64)))) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(.f64 (PI.f64) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (sqrt.f64 (.f64 2 (PI.f64)))) (exp.f64 (-.f64 15/2 z)))))

localize236.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
	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	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 462 to 362 computations (21.6% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`associate-*r/`
1394×	`associate-*l/`
456×	`associate-/r*`
322×	`associate-/l*`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	276	35
2	3669	35

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-/r*`
1248×	`associate-*r/`
1036×	`associate-/l/`
960×	`*-commutative`
710×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	4089
1	654	3723
2	2565	3671

Stop Event

1×	node limit

Counts

77 → 106

Calls

Call 1

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

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

localize173.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
	0.9b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 411 to 311 computations (24.3% saved)

series6.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)

2.0ms

-inf

(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)

2.0ms

(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
798×	`unswap-sqr`
668×	`associate-*r/`
628×	`associate-/r*`
618×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	248	21
2	2818	21

Stop Event

1×	node limit

Counts

1 → 151

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)

Outputs

((#(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 (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 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2) 3))))) (#(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 (PI.f64)) (/.f64 (sqrt.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 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1/6) (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1/6) (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 (PI.f64)) 2) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))))) (#(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 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (pow.f64 (cbrt.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 (cbrt.f64 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#<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 expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1230×	`associate-+l+`
1076×	`*-commutative`
558×	`associate-/l*`
398×	`unswap-sqr`
384×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5889
1	826	5277
2	3087	5217
3	6933	5217

Stop Event

1×	node limit

Counts

159 → 197

Calls

Call 1

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

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

eval1.9s (2.3%)

Compiler: Compiled 72568 to 54487 computations (24.9% saved)

prune428.0ms (0.5%)

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	1009	33	1042
Fresh	13	16	29
Picked	1	0	1
Done	3	3	6
Total	1026	52	1078

Error

0.0b

Counts

1078 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.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 9999999999998099/10000000000000000))
	55.8b	(/.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)) 9999999999998099/10000000000000000))))
	55.8b	(/.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)) 9999999999998099/10000000000000000))))
	1.5b	(.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (PI.f64)) -1) (.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)))))
	2.1b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)) 3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.2b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.2b	(.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.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 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.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)))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))))
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	1.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	1.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
	55.8b	(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
▶	55.8b	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))

Compiler

Compiled 4866 to 3997 computations (17.9% saved)

localize246.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 543 to 428 computations (21.2% saved)

localize105.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))
✓	0.3b	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
✓	0.5b	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
✓	1.0b	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 91 to 67 computations (26.4% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
2.0ms	z	@	inf	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
1.0ms	z	@	-inf	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
1.0ms	z	@	inf	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))
1.0ms	z	@	0	(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))

rewrite185.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`associate-/r*`
436×	`add-sqr-sqrt`
418×	`*-un-lft-identity`
416×	`pow1`
408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 2 (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))

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

simplify137.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-/l*`
856×	`associate-r`
722×	`associate-+r+`
720×	`associate-l`
604×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	9933
1	1255	9693
2	6657	9637

Stop Event

1×	node limit

Counts

183 → 217

Calls

Call 1

Inputs
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 -1/6 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 -1/6 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) 1)
(.f64 1 (sqrt.f64 (.f64 2 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/4))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (*.f64 2 (PI.f64))))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 2 (PI.f64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (PI.f64))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))) 1)
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (/.f64 1 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) 1)
(.f64 1 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z))
(.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) (.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) (/.f64 1 z)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 z)))
(.f64 (cbrt.f64 (.f64 2 (PI.f64))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 1 z)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (cbrt.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)))
(.f64 (/.f64 1 z) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 -1 z))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) (cbrt.f64 z)))
(.f64 (/.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) 1) (/.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) z))
(.f64 (/.f64 (pow.f64 (.f64 2 (PI.f64)) 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (cbrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 z)) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (PI.f64))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) z))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (PI.f64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 z)))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) 3) 1/3)
(pow.f64 (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (neg.f64 z)))
(sqrt.f64 (/.f64 (.f64 2 (PI.f64)) (.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))) 1)
(/.f64 (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 15/2)) (exp.f64 z))
(/.f64 (/.f64 (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 15/2)) 1) (exp.f64 z))
(/.f64 (/.f64 (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 15/2)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 15/2)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000))))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) 1)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) (exp.f64 z))
(/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z)
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) z)
(/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) (.f64 z (exp.f64 z)))
(/.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (exp.f64 z) z))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) z) (/.f64 1 (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 1) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64)))))) (sqrt.f64 (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (.f64 (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))) (cbrt.f64 (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))))) (cbrt.f64 (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 1 (pow.f64 (.f64 2 (PI.f64)) 1/4))) (/.f64 z (pow.f64 (*.f64 2 (PI.f64)) 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 1 (sqrt.f64 2))) (/.f64 z (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 1 (cbrt.f64 (.f64 2 (PI.f64))))) (/.f64 z (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 z) 1)) (/.f64 (sqrt.f64 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 z) (pow.f64 (.f64 2 (PI.f64)) 1/4))) (/.f64 (sqrt.f64 z) (pow.f64 (*.f64 2 (PI.f64)) 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 z) (sqrt.f64 2))) (/.f64 (sqrt.f64 z) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 z) (cbrt.f64 (.f64 2 (PI.f64))))) (/.f64 (sqrt.f64 z) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (cbrt.f64 z) 2) 1)) (/.f64 (cbrt.f64 z) (sqrt.f64 (.f64 2 (PI.f64)))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (.f64 2 (PI.f64)) 1/4))) (/.f64 (cbrt.f64 z) (pow.f64 (*.f64 2 (PI.f64)) 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 2))) (/.f64 (cbrt.f64 z) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (.f64 2 (PI.f64))))) (/.f64 (cbrt.f64 z) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) 1) (exp.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) (.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1) z)
(/.f64 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1) z)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1) (neg.f64 z))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (pow.f64 (cbrt.f64 z) 2)) (neg.f64 (cbrt.f64 z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z)))) (cbrt.f64 (neg.f64 z)))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) -1) z)
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) 1) z)
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1) (exp.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) z) (exp.f64 z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z)) z)
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))

Outputs
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(*.f64 (/.f64 (sqrt.f64 2) z) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (PI.f64)) z))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64)))))
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(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (neg.f64 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) 1) z)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1) (exp.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2)) z) (exp.f64 z))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(/.f64 (/.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (exp.f64 z)) z)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 1)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 2)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) 3)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(pow.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3) 1/3)
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 2))
(sqrt.f64 (pow.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z))) 2))
(fabs.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) 3))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 15/2 z)) 3)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) (pow.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (-.f64 z 15/2)) z))

localize234.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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))))))))
	0.9b	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
	1.0b	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 379 to 307 computations (19% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

-inf

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

1.0ms

inf

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

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1248×	`add-exp-log`
1248×	`add-cbrt-cube`
1248×	`add-log-exp`
1248×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	167
1	1305	167

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 (*.f64 (*.f64 (sqrt.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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 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simplify115.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`distribute-lft-in`
1354×	`distribute-rgt-in`
1014×	`*-commutative`
858×	`associate-/l*`
752×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	3917
1	580	3395
2	2327	3373

Stop Event

1×	node limit

Counts

19 → 49

Calls

Call 1

Inputs
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Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (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 z (*.f64 (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 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (fma.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))))
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(exp.f64 (log.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.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 (.f64 (sqrt.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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) z) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))

localize141.0ms (0.2%)

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

Compiler

Compiled 234 to 174 computations (25.6% saved)

series8.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(+.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	@	inf	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`add-sqr-sqrt`
804×	`add-exp-log`
804×	`add-log-exp`
802×	`add-cbrt-cube`
802×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	168
1	836	168

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

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

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

Outputs

((#(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 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simplify92.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-+r+`
916×	`associate-+l+`
696×	`+-commutative`
638×	`associate-/r*`
612×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	4551
1	700	4395
2	3117	4219

Stop Event

1×	node limit

Counts

45 → 88

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
7902188421553103227/30000000000000000
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(*.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)))))))
(+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (+.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)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(+.f64 (.f64 (+.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)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(pow.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1)
(log.f64 (exp.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(cbrt.f64 (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(exp.f64 (log.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))

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

localize429.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))
	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 741 to 578 computations (22% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
0.0ms	z	@	inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
0.0ms	z	@	0	(.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))
0.0ms	z	@	inf	(.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`add-sqr-sqrt`
848×	`add-exp-log`
848×	`add-cbrt-cube`
848×	`add-log-exp`
848×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
1	875	182

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(*.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 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(+.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (pow.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (*.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (*.f64 (*.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (*.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (+.f64 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simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1270×	`associate-r`
1066×	`associate-+l-`
1048×	`associate-+r-`
1034×	`associate-l`
810×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	3252
1	313	3180
2	1491	2730
3	6697	2730

Stop Event

1×	node limit

Counts

42 → 65

Calls

Call 1

Inputs
59493983178131529437839794393961/25000000000000000000000000
(+.f64 59493983178131529437839794393961/25000000000000000000000000 (*.f64 -59493983178131529437839794393961/25000000000000000000000000 z))
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(*.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 z 2))
(+.f64 (.f64 -59493983178131529437839794393961/25000000000000000000000000 z) (.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 z 2)))
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Outputs
59493983178131529437839794393961/25000000000000000000000000
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(+.f64 (/.f64 (-.f64 (pow.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) 2) (pow.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (.f64 (-.f64 3 z) (.f64 (-.f64 2 z) (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) -7713234287776531/10000000000000))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 (-.f64 (pow.f64 (+.f64 -9443544125418021/2500000000000 (.f64 3147848041806007/2500000000000 z)) 2) (pow.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) 2)) (.f64 (-.f64 2 z) (.f64 (-.f64 3 z) (fma.f64 -3147848041806007/2500000000000 (-.f64 3 z) (*.f64 (-.f64 2 z) -7713234287776531/10000000000000))))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 9999999999998099/10000000000000000)))

eval1.9s (2.3%)

Compiler: Compiled 67800 to 53026 computations (21.8% saved)

prune316.0ms (0.4%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	966	17	983
Fresh	17	27	44
Picked	1	0	1
Done	4	3	7
Total	988	47	1035

Error

0.0b

Counts

1035 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	1.5b	(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
	55.8b	(/.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 9999999999998099/10000000000000000))
	55.8b	(/.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)) 9999999999998099/10000000000000000))))
	2.2b	(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.2b	(.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.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 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 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.0b	(.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 (exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	62.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000))))
	62.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))))
✓	1.6b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.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)))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (-.f64 (.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 -3147848041806007/2500000000000 (-.f64 3 z))) (.f64 (.f64 (-.f64 2 z) 7713234287776531/10000000000000) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))) (.f64 (.f64 (-.f64 2 z) (-.f64 3 z)) (-.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000))))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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))))))))
	2.6b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) 3) 1/3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.4b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	1.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.2b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	55.0b	(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
	55.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
	1.6b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	62.6b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
	55.0b	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
	55.8b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
	1.0b	(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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))))))))
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	1.4b	(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
	37.1b	(.f64 (expm1.f64 (log1p.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)))))
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	55.8b	(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
	55.8b	(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
✓	55.8b	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
	55.8b	(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
	37.1b	(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))

Compiler

Compiled 2161 to 1778 computations (17.7% saved)

regimes246.0ms (0.3%)

Counts

103 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
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(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
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(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) 3) 1/3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (/.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000))))
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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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.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 (sqrt.f64 (PI.f64)) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (sqrt.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 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 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (.f64 (PI.f64) z)) 3))) (.f64 (.f64 (sqrt.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 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (.f64 (sqrt.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 (exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 z 3) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 3) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000)) 3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))) (.f64 (.f64 (sqrt.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 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 (/.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 (sqrt.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

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

Calls

2 calls:

47.0ms

(*.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)))))

46.0ms

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 5805 to 4435 computations (23.6% saved)

regimes116.0ms (0.1%)

Counts

72 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (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) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (+.f64 (.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2)))) (+.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 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)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.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)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.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)))))))

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 3344 to 2537 computations (24.1% saved)

regimes112.0ms (0.1%)

Counts

71 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 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)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (*.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000))) (+.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 (/.f64 7713234287776531/10000000000000 (-.f64 9 (.f64 z z))) (+.f64 z 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (+.f64 (.f64 z 7713234287776531/10000000000000) 11173853963059511/5000000000000) (.f64 z -3147848041806007/2500000000000)) (*.f64 (-.f64 3 z) (+.f64 z -2)))) (+.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 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)))))))

Outputs

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 3260 to 2473 computations (24.1% saved)

regimes97.0ms (0.1%)

Counts

61 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) 3) 1/3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 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 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.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)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.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)))))))

Calls

1 calls:

34.0ms

Results

Error	Segments	Branch
0.5b	1	`z`

Compiler

Compiled 2487 to 1893 computations (23.9% saved)

regimes153.0ms (0.2%)

Counts

59 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
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(.f64 (/.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (/.f64 1 (PI.f64))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)) (+.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)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Calls

1 calls:

62.0ms

Results

Error	Segments	Branch
0.9b	1	`z`

Compiler

Compiled 2339 to 1781 computations (23.9% saved)

regimes118.0ms (0.1%)

Counts

51 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) 3) 1/3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (/.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 1106209385320415913103082059/4200000000000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000))))
(.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)) (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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))))
(.f64 (.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.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 (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)) (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 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 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)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

(*.f64 (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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:

57.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1845 to 1418 computations (23.1% saved)

regimes48.0ms (0.1%)

Counts

34 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 z (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.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 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) z)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (expm1.f64 (log1p.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) 3) 1/3) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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:

16.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1122 to 902 computations (19.6% saved)

regimes65.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.4b	1	`z`

Compiler

Compiled 447 to 356 computations (20.4% saved)

regimes20.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 z))))))

Outputs

(*.f64 (/.f64 1 z) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.6b	1	`z`

Compiler

Compiled 404 to 321 computations (20.5% saved)

regimes16.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 (.f64 (+.f64 z 1) (exp.f64 -15/2)) 9999999999998099/10000000000000000)))
(.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))) 9999999999998099/10000000000000000)))

Outputs
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
55.0b	1	`z`

Compiler

Compiled 330 to 261 computations (20.9% saved)

regimes13.0ms (0%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))

Outputs
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
55.0b	1	`z`

Compiler

Compiled 244 to 190 computations (22.1% saved)

regimes13.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (-.f64 z 15/2)) z)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(/.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)) 9999999999998099/10000000000000000))))
(/.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 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (.f64 (/.f64 1 z) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))
(/.f64 1 (/.f64 z (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))

Outputs
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
55.8b	1	`z`

Compiler

Compiled 219 to 169 computations (22.8% saved)

simplify246.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

972×	`*-commutative`
886×	`distribute-lft-neg-in`
696×	`+-commutative`
540×	`distribute-neg-in`
436×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1948
1	273	1948
2	294	1944
3	308	1944
4	345	1944
5	402	1944
6	482	1944
7	557	1944
8	597	1944
9	634	1944
10	677	1944
11	773	1944
12	924	1944
13	1114	1944
14	1315	1944
15	1529	1944
16	1779	1944
17	2040	1944
18	2295	1944
19	2606	1944
20	2897	1944
21	3134	1944
22	3152	1944
23	3242	1944
24	3329	1944
25	3423	1944
26	3425	1944
27	3425	1944

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (/.f64 (+.f64 (-.f64 3 z) (.f64 (.f64 2500000000000/3147848041806007 (+.f64 -2 z)) 7713234287776531/10000000000000)) (*.f64 2500000000000/3147848041806007 (+.f64 -2 z))) (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
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Outputs
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(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 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 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (*.f64 z -9487795309719323173/900000000000000000) -6251307572601308353/150000000000000000))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (-.f64 -6251307572601308353/150000000000000000 (*.f64 z 9487795309719323173/900000000000000000)))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 z 40269435042492127/90000000000000))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) -6251307572601308353/150000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (+.f64 (+.f64 z -1) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (-.f64 -13/2 (-.f64 1 z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.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 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))))
(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (*.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
(.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 9999999999998099/10000000000000000 (exp.f64 -15/2))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))))
(.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 (.f64 (PI.f64) 2)) z))))

Compiler

Compiled 643 to 529 computations (17.7% saved)

soundness302.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1204×	`associate-/r*`
1084×	`associate-+r+`
1076×	`associate-+l+`
996×	`*-commutative`
826×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	227	4344
1	679	3842
2	2865	3502

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 507 to 398 computations (21.5% saved)

end525.0ms (0.6%)

Compiler: Compiled 632 to 495 computations (21.7% saved)