Details

analyze549.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.0min (74.5%)

Results

55.1s	3862×	body	8192	exit
5.4s	8256×	body	256	valid
106.0ms	89×	body	256	infinite
43.0ms	78×	body	256	unsamplable

Bogosity

preprocess47.0ms (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)

simplify51.0ms (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)

prune68.0ms (0.1%)

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

0.45%

Counts

6 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.63%	(.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)))))
▶	0.74%	(.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))))))
▶	1.53%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
▶	2.21%	(.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)))))))
▶	1.54%	(.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)

localize367.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.53%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
✓	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	4.35%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓	8.55%	(+.f64 (-.f64 1 z) -1)

Compiler

Compiled 656 to 554 computations (15.5% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite79.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`add-sqr-sqrt`
696×	`add-cbrt-cube`
696×	`add-cube-cbrt`
694×	`add-exp-log`
692×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	112
1	762	106

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))

Outputs
((#(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)) (cbrt.f64 (pow.f64 (-.f64 0 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (-.f64 0 z) 2)) (cbrt.f64 (-.f64 0 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (-.f64 0 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 3) -1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (neg.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 0 z) 1/2) (pow.f64 (-.f64 0 z) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) 1) (+.f64 1 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))))) (#(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) (pow.f64 (-.f64 0 z) 2)))))) (#(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))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(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 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))) (#(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)))) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))))) (#(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))) (cbrt.f64 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 2) 1/4) (pow.f64 (.f64 (PI.f64) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))))))

simplify137.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-r`
1298×	`associate-l`
1074×	`distribute-lft-in`
904×	`distribute-rgt-in`
536×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3762
1	649	3276
2	2146	3256

Stop Event

1×	node limit

Counts

112 → 180

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(-.f64 1 (-.f64 z -1))
(-.f64 1 (-.f64 (+.f64 z 0) -1))
(-.f64 (-.f64 1 z) 1)
(-.f64 (-.f64 0 z) 0)
(-.f64 0 z)
(-.f64 0 (+.f64 z 0))
(*.f64 1 (-.f64 0 z))
(*.f64 (-.f64 0 z) 1)
(*.f64 (sqrt.f64 (-.f64 0 z)) (sqrt.f64 (-.f64 0 z)))
(*.f64 (cbrt.f64 (-.f64 0 z)) (cbrt.f64 (pow.f64 (-.f64 0 z) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 0 z) 2)) (cbrt.f64 (-.f64 0 z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (-.f64 0 z))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (-.f64 (pow.f64 (-.f64 1 z) 3) -1)) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (neg.f64 (-.f64 1 z)))))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 z)) 1) (-.f64 (sqrt.f64 (-.f64 1 z)) 1))
(*.f64 (pow.f64 (-.f64 0 z) 1/2) (pow.f64 (-.f64 0 z) 1/2))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (neg.f64 (-.f64 1 z)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) 1) (+.f64 1 (-.f64 1 z)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (sqrt.f64 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (+.f64 1 (-.f64 1 z))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 1 z)) 2))) (cbrt.f64 (+.f64 1 (-.f64 1 z))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 1 z) 2)) (-.f64 -1 (-.f64 1 z)))
(pow.f64 (-.f64 0 z) 1)
(log.f64 (exp.f64 (-.f64 0 z)))
(cbrt.f64 (*.f64 (-.f64 0 z) (pow.f64 (-.f64 0 z) 2)))
(expm1.f64 (log1p.f64 (-.f64 0 z)))
(exp.f64 (log.f64 (-.f64 0 z)))
(log1p.f64 (expm1.f64 (-.f64 0 z)))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1/2))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (-.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(cbrt.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(.f64 1 (sqrt.f64 (.f64 (PI.f64) 2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (*.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (pow.f64 (.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1/2) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (.f64 (.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1/2))
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 3)) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))
(/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 (-.f64 1 z) 7713234287776531/10000000000000) 23139702863329593/10000000000000) (.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
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(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2)))
(cbrt.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize264.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.51%	(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
✓	1.56%	(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 498 to 393 computations (21.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(/.f64 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 (/.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))

rewrite191.0ms (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
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Outputs

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simplify290.0ms (0.4%)

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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(/.f64 -943522900885677/5000000000000 z)
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9151757080597036297/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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7713234287776531/30000000000000
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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))))
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(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
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(*.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))

localize225.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.51%	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.55%	(+.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))))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 477 to 364 computations (23.7% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0ms	z	@	-inf	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms	z	@	inf	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
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))))))

rewrite99.0ms (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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simplify85.0ms (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)))
(*.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)))

localize415.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
✓	1.52%	(+.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))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.65%	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

Compiler

Compiled 668 to 560 computations (16.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite100.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	267
1	1145	267

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify180.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 133

Calls

Call 1

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

localize495.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(.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))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	4.35%	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	8.55%	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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))))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms	z	@	-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	@	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)))

rewrite70.0ms (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))))))))))

simplify114.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 108

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) 9999999999998099/10000000000000000)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
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eval3.5s (4.3%)

Compiler: Compiled 126286 to 102917 computations (18.5% saved)

prune1.2s (1.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1154	22	1176
Fresh	0	0	0
Picked	1	0	1
Done	3	1	4
Total	1158	23	1181

Error

0.4%

Counts

1181 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	2.62%	(.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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z))) 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)))))
	2.64%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.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)))))
	2.45%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	0.77%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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))))))))
	2.72%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.53%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	3.19%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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)) 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	97.9%	(.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 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	98.03%	(.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)))))
▶	0.73%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 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 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
	3.12%	(.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 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (+.f64 1 (-.f64 1 z))) (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
▶	4.02%	(.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)))))))
	2.7%	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	3.36%	(.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)))
▶	85.94%	(.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)))
	1.54%	(.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)))))))
	2.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.69%	(.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)))))))
	1.95%	(.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)))))))
	97.9%	(.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 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	2.59%	(.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)))))))
	2.62%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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)))))) (+.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 3117 to 2581 computations (17.2% saved)

localize264.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.51%	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
✓	1.53%	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 601 to 491 computations (18.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	0	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	-inf	(+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
0.0ms	z	@	inf	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
0.0ms	z	@	0	(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`add-sqr-sqrt`
938×	`add-cbrt-cube`
938×	`add-cube-cbrt`
936×	`add-exp-log`
936×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	158
1	952	158

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 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 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

Outputs

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simplify108.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-+l-`
1372×	`fma-def`
980×	`associate-+l+`
884×	`associate-+r+`
680×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	3169
1	469	3143
2	2006	2821
3	6774	2821

Stop Event

1×	node limit

Counts

47 → 85

Calls

Call 1

Inputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (+.f64 (.f64 -224122754235180443/3240000000000000 (pow.f64 z 3)) (*.f64 -69565428553209127/540000000000000 (pow.f64 z 2)))) 11173853963059511/30000000000000)
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(/.f64 4878157879447497/10000000000000 z)
(+.f64 (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 4878157879447497/10000000000000 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
1106306385087101917187082059/4200000000000000000000000
(+.f64 1106306385087101917187082059/4200000000000000000000000 (*.f64 308276655349220416440703952839/705600000000000000000000000 z))
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9999999999998099/10000000000000000
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(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1073194425937474004647167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 614922610715363913362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1073194425937474004647167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 429487340463960330716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 614922610715363913362579/25000000000000000000000 (/.f64 1 z))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 614922610715363913362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1073194425937474004647167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (.f64 614922610715363913362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (.f64 1073194425937474004647167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 429487340463960330716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 614922610715363913362579/25000000000000000000000 (/.f64 1 z))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
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(/.f64 (+.f64 (.f64 -3147848041806007/2500000000000 (-.f64 3 z)) (.f64 (-.f64 2 z) 7713234287776531/10000000000000)) (*.f64 (-.f64 2 z) (-.f64 3 z)))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (.f64 (.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(*.f64 1 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(/.f64 (-.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (-.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 3)) (+.f64 (.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(pow.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

Outputs
-11173853963059511/30000000000000
(-.f64 (*.f64 -5154349522119383/22500000000000 z) 11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z -11173853963059511/30000000000000)
(-.f64 (+.f64 (.f64 -5154349522119383/22500000000000 z) (.f64 -69565428553209127/540000000000000 (pow.f64 z 2))) 11173853963059511/30000000000000)
(+.f64 (fma.f64 -5154349522119383/22500000000000 z (.f64 -69565428553209127/540000000000000 (.f64 z z))) -11173853963059511/30000000000000)
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 -69565428553209127/540000000000000 (*.f64 z z) -11173853963059511/30000000000000))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) -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))
(fma.f64 -5154349522119383/22500000000000 z (fma.f64 z (*.f64 z -69565428553209127/540000000000000) (fma.f64 -224122754235180443/3240000000000000 (pow.f64 z 3) -11173853963059511/30000000000000)))
(/.f64 4878157879447497/10000000000000 z)
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(-.f64 (+.f64 (/.f64 2043081471118463/10000000000000 (*.f64 z z)) (/.f64 4878157879447497/10000000000000 z)) (/.f64 19053539921092667/10000000000000 (pow.f64 z 3)))
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(/.f64 4878157879447497/10000000000000 z)
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(-.f64 (+.f64 (.f64 4878157879447497/10000000000000 (/.f64 1 z)) (.f64 2043081471118463/10000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 107526188432174113/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 19053539921092667/10000000000000 (/.f64 1 (pow.f64 z 3)))))
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1106306385087101917187082059/4200000000000000000000000
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(+.f64 1106306385087101917187082059/4200000000000000000000000 (*.f64 z 308276655349220416440703952839/705600000000000000000000000))
(fma.f64 z 308276655349220416440703952839/705600000000000000000000000 1106306385087101917187082059/4200000000000000000000000)
(+.f64 1106306385087101917187082059/4200000000000000000000000 (+.f64 (.f64 64608997467758671521129900520019/118540800000000000000000000000 (pow.f64 z 2)) (.f64 308276655349220416440703952839/705600000000000000000000000 z)))
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(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.42%	(*.f64 (PI.f64) z)
✓	0.44%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.49%	(.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)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 149 to 111 computations (25.5% saved)

series7.0ms (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	@	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)))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite147.0ms (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 (/.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) (sin.f64 (*.f64 (PI.f64) z)))

(*.f64 (PI.f64) z)

Outputs

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

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

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1596×	`associate-/r*`
1406×	`distribute-lft-in`
556×	`associate-+l+`
554×	`associate-r`
538×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	5319
1	857	5165
2	3583	5141

Stop Event

1×	node limit

Counts

109 → 122

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

Outputs
(.f64 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 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.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)))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (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 (.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))))))
(fma.f64 9999999999998099/10000000000000000 (.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 9999999999998099/10000000000000000 (+.f64 (.f64 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (PI.f64) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))) (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (PI.f64))))) (.f64 z (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2)))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (.f64 9999999999998099/10000000000000000 (.f64 z (.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))) (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
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(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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (PI.f64))) (sin.f64 (.f64 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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (PI.f64))) (sin.f64 (.f64 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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (PI.f64))) (sin.f64 (.f64 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 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (PI.f64))) (sin.f64 (.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) 9999999999998099/10000000000000000)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (.f64 2 (PI.f64))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (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) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (PI.f64) (/.f64 1 (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 1 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (sin.f64 (.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 z (PI.f64)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))
(fabs.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 z (PI.f64))
(pow.f64 (*.f64 (PI.f64) z) 1)
(*.f64 z (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) z)) 2)
(*.f64 z (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) z)) 3)
(*.f64 z (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)
(*.f64 z (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (PI.f64)) 2))
(fabs.f64 (*.f64 z (PI.f64)))
(log.f64 (pow.f64 (exp.f64 z) (PI.f64)))
(*.f64 z (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) z))))
(*.f64 z (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) z) 3))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 z 3)))
(*.f64 z (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))
(*.f64 z (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) z)) 1))
(*.f64 z (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) z)))
(*.f64 z (PI.f64))

localize133.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	1.51%	(*.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
✓	1.52%	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 249 to 176 computations (29.3% saved)

series20.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
3.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms	z	@	0	(+.f64 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)))))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	172
1	879	172

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 (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))))))

Outputs

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

simplify122.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-+r+`
926×	`associate-+l+`
788×	`associate-*r/`
688×	`associate-*l/`
688×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	236	4583
1	702	4395
2	3185	4219

Stop Event

1×	node limit

Counts

45 → 87

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

localize234.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.51%	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 391 to 305 computations (22% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite98.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	249
1	1333	249

Stop Event

1×	node limit

Counts

3 → 29

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))))

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

Outputs

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

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((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 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simplify114.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-+r+`
1314×	`associate-+l+`
1216×	`associate-*r/`
1036×	`associate-*l/`
896×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	6461
1	980	5603
2	4035	5579

Stop Event

1×	node limit

Counts

65 → 109

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)
(-.f64 (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2))) 6251307572601308353/150000000000000000)
(-.f64 (+.f64 (.f64 -217079232301479335353/324000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -9487795309719323173/900000000000000000 z) (*.f64 -1795630016662247729/675000000000000000 (pow.f64 z 2)))) 6251307572601308353/150000000000000000)
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
(+.f64 (.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))))
(/.f64 2053078212233992689/12500000000000000 z)
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))
(+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2053078212233992689/12500000000000000 (/.f64 1 z))))
(+.f64 (.f64 244246882827963270523/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 16118870670668054893/25000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 62953636101416072483/25000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2053078212233992689/12500000000000000 (/.f64 1 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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Outputs
9151757080597036297/30000000000000000
(+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))
(fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)
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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)
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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)
-6251307572601308353/150000000000000000
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localize492.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
✓	1.51%	(+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
	1.51%	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 541 to 454 computations (16.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(+.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))))
0.0ms	z	@	inf	(+.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))))
0.0ms	z	@	0	(+.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))))
0.0ms	z	@	0	(+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
0.0ms	z	@	inf	(+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))

rewrite94.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`add-sqr-sqrt`
986×	`add-exp-log`
986×	`add-cbrt-cube`
986×	`add-log-exp`
986×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	170
1	1004	170

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

(+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (sqrt.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (cbrt.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (cbrt.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (-.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (*.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (sqrt.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (cbrt.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))))))

simplify104.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-+r-`
1216×	`associate-+l-`
1202×	`fma-def`
1102×	`associate-+l+`
916×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	3266
1	456	2594
2	1997	2316
3	6193	2316

Stop Event

1×	node limit

Counts

46 → 83

Calls

Call 1

Inputs
9151757080597036297/30000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 9151757080597036297/30000000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 9151757080597036297/30000000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
479507597606835099/10000000000000000
(-.f64 479507597606835099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
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1106209385320415913103082059/4200000000000000000000000
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Outputs
9151757080597036297/30000000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 9151757080597036297/30000000000000000)
(fma.f64 7713234287776531/90000000000000 z 9151757080597036297/30000000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 9151757080597036297/30000000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(fma.f64 7713234287776531/90000000000000 z (+.f64 9151757080597036297/30000000000000000 (.f64 7713234287776531/270000000000000 (.f64 z z))))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 9151757080597036297/30000000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 9151757080597036297/30000000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 9151757080597036297/30000000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 9151757080597036297/30000000000000000)))
479507597606835099/10000000000000000
(-.f64 479507597606835099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))
(-.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 z))
(+.f64 479507597606835099/10000000000000000 (/.f64 -7713234287776531/10000000000000 z))
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(+.f64 479507597606835099/10000000000000000 (-.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 23139702863329593/10000000000000 (*.f64 z z))))
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(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
(+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(+.f64 479507597606835099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))

eval1.1s (1.4%)

Compiler: Compiled 50323 to 39071 computations (22.4% saved)

prune297.0ms (0.4%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	693	13	706
Fresh	4	13	17
Picked	1	0	1
Done	2	3	5
Total	700	29	729

Error

0.02%

Counts

729 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	2.62%	(.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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z))) 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)))))
	2.64%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.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)))))
	2.45%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	0.77%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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))))))))
	2.72%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.f64 40269435042492127/90000000000000 z) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.53%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	3.19%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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)) 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
▶	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	2.31%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	97.9%	(.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 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	98.03%	(.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)))))
	97.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 z))))))
✓	0.73%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 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 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
▶	4.02%	(.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 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))))
	2.7%	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	1.54%	(.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)))))))
	2.6%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	1.69%	(.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)))))))
	3.36%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
▶	2.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	2.62%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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)))))) (+.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)))))
▶	85.95%	(.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)))
	85.94%	(.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)))
	1.89%	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	2.06%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	2.51%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
	2.87%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
	2.66%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 3180 to 2640 computations (17% saved)

localize195.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.52%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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))))))))
	1.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.5%	(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 490 to 387 computations (21% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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))))))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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))))))))
0.0ms	z	@	0	(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
0.0ms	z	@	inf	(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))

rewrite92.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1512×	`add-exp-log`
1512×	`add-cbrt-cube`
1512×	`add-cube-cbrt`
1510×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	242
1	1566	242

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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))))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 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simplify131.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1406×	`associate-+r+`
1276×	`associate-*r/`
1112×	`associate-+l+`
1006×	`associate-/r*`
1004×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5735
1	816	5029
2	3270	5005

Stop Event

1×	node limit

Counts

41 → 83

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
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(/.f64 -7713234287776531/10000000000000 z)
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(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 -3 z)))
(*.f64 1 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))
(*.f64 (sqrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))) (sqrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(.f64 (.f64 (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(pow.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) 1)
(log.f64 (exp.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(cbrt.f64 (.f64 (.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z)) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))) (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(expm1.f64 (log1p.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(exp.f64 (log.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(log1p.f64 (expm1.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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))))))))) (sin.f64 (.f64 z (PI.f64))))
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Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
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(fma.f64 7713234287776531/90000000000000 z (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (.f64 z z))))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
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(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
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(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64))))) 3))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)))
✓	0.07%	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
✓	0.49%	(.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)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 136 to 112 computations (17.6% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (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	157
1	528	113
2	6859	113

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

Outputs

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

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

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

simplify179.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-/r/`
1358×	`associate-/l/`
626×	`associate-+r+`
616×	`associate-r`
558×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	5591
1	826	5387
2	3939	5193

Stop Event

1×	node limit

Counts

109 → 151

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

Outputs
(.f64 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) (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 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(+.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)))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15))) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))))
(.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (/.f64 (sqrt.f64 2) z))))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 3))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 2) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3/2) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 1))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.51%	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
	1.52%	(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
✓	1.56%	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 190 to 148 computations (22.1% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`add-sqr-sqrt`
698×	`add-exp-log`
698×	`add-log-exp`
696×	`add-cbrt-cube`
696×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	108
1	738	108

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.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 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2))) (-.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 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3))) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2))) (-.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2))) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 7902188421553103227/30000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.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 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.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 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 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 (*.f64 (PI.f64) 2) (*.f64 15/2 (pow.f64 (exp.f64 -15/2) 2))) (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))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))))

simplify123.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1436×	`fma-def`
1070×	`times-frac`
952×	`+-commutative`
832×	`associate-/l*`
708×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	4166
1	451	3624
2	2075	3328
3	7104	3322

Stop Event

1×	node limit

Counts

34 → 78

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -2715848032326100368047161/705600000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (.f64 -2715848032326100368047161/705600000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (sqrt.f64 (PI.f64)))))))
(.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 3464024008321714637421/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 7902188421553103227/30000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 5195971728131790397167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))))))
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Outputs
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(.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) -7902188421553103227/30000000000000000))) 62444581849727925073340192313717813529/900000000000000000000000000000000) (sqrt.f64 (*.f64 2 (PI.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 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (fma.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 7902188421553103227/30000000000000000)) 62444581849727925073340192313717813529/900000000000000000000000000000000) (sqrt.f64 (*.f64 2 (PI.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 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.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 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 7902188421553103227/30000000000000000)) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (sqrt.f64 15/2)) (exp.f64 -15/2)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000))) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))))) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2))) (-.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000))) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (exp.f64 -15) (.f64 (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)))) (.f64 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (.f64 (.f64 2 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (.f64 2 (PI.f64))))) (-.f64 (-.f64 7902188421553103227/30000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(/.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 -15/2))) (/.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(pow.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 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)
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 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 (.f64 (PI.f64) 2) (*.f64 15/2 (pow.f64 (exp.f64 -15/2) 2))) (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))))) 2))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 2 (PI.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 2 (PI.f64)) (.f64 (*.f64 15/2 (pow.f64 (exp.f64 -15/2) 2)) (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))))) 2)))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 15 (exp.f64 -15))) (.f64 (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))))) 2) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (PI.f64) (.f64 15 (exp.f64 -15))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(fma.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 7902188421553103227/30000000000000000)) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))

localize542.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.93%	(*.f64 -9487795309719323173/900000000000000000 z)
	1.51%	(+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 283 to 216 computations (23.7% saved)

series8.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (.f64 40269435042492127/90000000000000 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms	z	@	inf	(*.f64 -9487795309719323173/900000000000000000 z)
0.0ms	z	@	0	(*.f64 -9487795309719323173/900000000000000000 z)

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	154
1	1071	154

Stop Event

1×	node limit

Counts

2 → 13

Calls

Call 1

Inputs

(*.f64 -9487795309719323173/900000000000000000 z)

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

Outputs

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

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

simplify113.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

25 → 58

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 1031437005281937915679/245862400000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (.f64 (+.f64 (.f64 129091010669041056297/4390400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3))))))))))) (PI.f64)) (.f64 -1/6 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 -444344332714102833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
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(+.f64 (.f64 -253373321288362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -444344332714102833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 9876869457595968283/37500000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 131068851705067315609/300000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(pow.f64 (*.f64 -9487795309719323173/900000000000000000 z) 1)
(log.f64 (exp.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(cbrt.f64 (.f64 (.f64 (.f64 -9487795309719323173/900000000000000000 z) (.f64 -9487795309719323173/900000000000000000 z)) (*.f64 -9487795309719323173/900000000000000000 z)))
(expm1.f64 (log1p.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(exp.f64 (log.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(log1p.f64 (expm1.f64 (*.f64 -9487795309719323173/900000000000000000 z)))
(/.f64 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.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 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 -15/2) (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))))))
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(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(cbrt.f64 (pow.f64 (.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z 40269435042492127/90000000000000)) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9151757080597036297/30000000000000000 (+.f64 (.f64 z 40269435042492127/90000000000000) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 40269435042492127/90000000000000 9151757080597036297/30000000000000000) (+.f64 (fma.f64 z -9487795309719323173/900000000000000000 -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

localize402.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5%	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.51%	(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
	1.51%	(+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 499 to 413 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

0.0ms

inf

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`add-sqr-sqrt`
918×	`add-exp-log`
918×	`add-cbrt-cube`
918×	`add-log-exp`
918×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	139
1	929	139

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs

(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 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3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 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(/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) 3)) (+.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 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(-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))))))

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-+r-`
1164×	`associate-r`
978×	`associate-l`
932×	`associate-+l-`
922×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	2479
1	290	2193
2	1343	1737
3	6039	1737

Stop Event

1×	node limit

Counts

23 → 43

Calls

Call 1

Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
479507597606835099/10000000000000000
(-.f64 479507597606835099/10000000000000000 (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 479507597606835099/10000000000000000 (+.f64 (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)) (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 479507597606835099/10000000000000000 (+.f64 (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
479507597606835099/10000000000000000
(-.f64 479507597606835099/10000000000000000 (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 479507597606835099/10000000000000000 (+.f64 (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)) (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(-.f64 479507597606835099/10000000000000000 (+.f64 (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 1 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(.f64 (.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (-.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) 3)) (+.f64 (.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))))) (-.f64 (.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(pow.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))

Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
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(+.f64 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000) (.f64 z (.f64 z 3071077024184708161128044520019/118540800000000000000000000000)))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000) 1106209385320415913103082059/4200000000000000000000000))
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479507597606835099/10000000000000000
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479507597606835099/10000000000000000
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(+.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 479507597606835099/10000000000000000) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 479507597606835099/10000000000000000)))
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 479507597606835099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))))))))
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eval766.0ms (0.9%)

Compiler: Compiled 44481 to 34907 computations (21.5% saved)

prune255.0ms (0.3%)

Pruning

44 alts after pruning (38 fresh and 6 done)

	Pruned	Kept	Total
New	684	25	709
Fresh	8	13	21
Picked	1	0	1
Done	1	6	7
Total	694	44	738

Error

Counts

738 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	87.24%	(/.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)))
	87.24%	(/.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))
	87.24%	(/.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)))))
	1.56%	(/.f64 (.f64 (PI.f64) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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))))))))) (sin.f64 (.f64 z (PI.f64))))
	87.24%	(/.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))))
	2.02%	(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
	2.62%	(.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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z))) 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)))))
	2.64%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.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)))))
▶	1.69%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.77%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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))))))))
	3.19%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.72%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.53%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	2.31%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	97.9%	(.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 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	98.03%	(.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)))))
	97.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 z))))))
✓	0.73%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 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 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
	2.7%	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	1.54%	(.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)))))))
	1.69%	(.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)))))))
	97.75%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))))
✓	2.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
▶	61.12%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
	3.27%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
	2.62%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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)))))) (+.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)))))
	85.95%	(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
	86%	(.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)))
	85.95%	(.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)))
	85.93%	(.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)))
▶	85.95%	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
	1.89%	(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	2.57%	(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
▶	1.1%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
	2.61%	(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
	2.51%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
	2.42%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	2.87%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
	2.73%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	2.52%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
	87.24%	(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
▶	87.24%	(.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 3864 to 3260 computations (15.6% saved)

localize194.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.84%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
	1.5%	(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
✓	1.5%	(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
✓	1.56%	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 498 to 393 computations (21.1% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
1.0ms	z	@	-inf	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
1.0ms	z	@	0	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
0.0ms	z	@	0	(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))
0.0ms	z	@	inf	(/.f64 -7713234287776531/10000000000000 (+.f64 z -3))

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1512×	`add-exp-log`
1512×	`add-cbrt-cube`
1512×	`add-cube-cbrt`
1510×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	255
1	1566	255

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify218.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-+r+`
1330×	`associate-*r/`
1176×	`associate-/r*`
1134×	`associate-+l+`
1088×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	5900
1	860	5182
2	3443	5158

Stop Event

1×	node limit

Counts

52 → 97

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (.f64 (.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 -7713234287776531/10000000000000 (/.f64 1 (+.f64 z -3)))
(*.f64 1 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))
(*.f64 (sqrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (sqrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(.f64 (.f64 (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (cbrt.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(pow.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 1)
(log.f64 (exp.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(cbrt.f64 (.f64 (.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(expm1.f64 (log1p.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(exp.f64 (log.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(log1p.f64 (expm1.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))))
(/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (.f64 (PI.f64) z)))
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(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (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 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
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Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 7713234287776531/270000000000000 (.f64 z z)))
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(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))
(exp.f64 (log.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (sin.f64 (.f64 z (PI.f64))) (.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.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 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (sin.f64 (.f64 z (PI.f64))) (.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.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 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 2 (PI.f64)))))))
(.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))))

localize161.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.45%	(.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))))
✓	0.46%	(.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)))
✓	0.75%	(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z)
	1.56%	(sqrt.f64 (*.f64 2 (PI.f64)))

Compiler

Compiled 91 to 67 computations (26.4% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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)))
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	@	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	@	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	@	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))))

rewrite154.0ms (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	143
1	435	143
2	5609	143

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs

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

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

(*.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))))

Outputs

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

simplify166.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

812×	`associate-/l*`
594×	`associate-/l/`
576×	`associate-r`
566×	`associate-l`
514×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	9642
1	1183	9338
2	5722	9112

Stop Event

1×	node limit

Counts

158 → 198

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 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 (exp.f64 15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (sqrt.f64 (PI.f64))) (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
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(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))
(.f64 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 (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)))
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(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 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000))) 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))))

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 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) -16/15)) (.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))
(+.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)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))))))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 (sqrt.f64 2) (.f64 z (fma.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) 1/2 (-.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))))))))
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(+.f64 (.f64 (.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))))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 z (fma.f64 1/2 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))))))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (.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 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 (.f64 (sqrt.f64 2) (.f64 z z)) (fma.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (fma.f64 -1 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) -1/6)))))))))
(fma.f64 (sqrt.f64 2) (.f64 (fma.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) 1/2 (-.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))) (.f64 z (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 15/2) (sqrt.f64 15/2)))) (.f64 (.f64 z z) (.f64 (fma.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))) (fma.f64 (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2 (-.f64 (.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) -1/6)) (.f64 (.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))))) (sqrt.f64 2))))))
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(/.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (/.f64 z (sqrt.f64 (PI.f64))))
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(.f64 9999999999998099/10000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 (*.f64 (exp.f64 15/2) (sqrt.f64 15/2)) (+.f64 -1 (fma.f64 -1 (log.f64 15/2) -1/15))) (sqrt.f64 (PI.f64))))))
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(.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 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.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 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (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 (exp.f64 (-.f64 15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.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 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (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))) 9999999999998099/10000000000000000) (exp.f64 15/2)) (exp.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000) (exp.f64 15/2)) 1) (exp.f64 z))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000) (exp.f64 15/2)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(/.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000) (exp.f64 15/2)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.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)) 1)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(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)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(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)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(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)
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(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))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000))) 2))
(fabs.f64 (.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64))))))))
(log.f64 (pow.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)))) 9999999999998099/10000000000000000))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (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 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (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))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (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 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (.f64 (+.f64 (-.f64 15/2 z) (log.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 9999999999998099/10000000000000000))) 1))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.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 (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 (/.f64 (sqrt.f64 (.f64 2 (PI.f64))) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000)))
(.f64 (exp.f64 (-.f64 15/2 z)) (.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (sqrt.f64 (*.f64 2 (PI.f64)))))))

localize118.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000))
	0.07%	(exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))
✓	0.49%	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
✓	1.5%	(.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z))))

Compiler

Compiled 144 to 116 computations (19.4% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
2.0ms	z	@	inf	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
2.0ms	z	@	-inf	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (*.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000))

rewrite109.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-sqr-sqrt`
560×	`*-un-lft-identity`
558×	`pow1`
548×	`add-exp-log`
548×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	195
1	594	175
2	7637	175

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) (/.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 (-.f64 1/2 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 15/2 z)) 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simplify180.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1620×	`associate-/r*`
1014×	`associate-/l/`
940×	`associate-/r/`
696×	`associate-+r+`
654×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	8784
1	881	8546
2	3916	8542

Stop Event

1×	node limit

Counts

96 → 146

Calls

Call 1

Inputs
(*.f64 15 (PI.f64))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (*.f64 15 (PI.f64)))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (+.f64 (.f64 15 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 2))) (.f64 (pow.f64 z 2) (PI.f64)))) (.f64 15 (PI.f64))))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (+.f64 (.f64 15 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 2))) (.f64 (pow.f64 z 2) (PI.f64)))) (+.f64 (.f64 15 (PI.f64)) (.f64 15 (.f64 (pow.f64 z 3) (.f64 (+.f64 172/10125 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 3)) (.f64 58/225 (-.f64 (*.f64 -2 (log.f64 15/2)) 2/15)))) (PI.f64)))))))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
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(/.f64 (neg.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))) (neg.f64 z))
(pow.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z) 1)
(pow.f64 (sqrt.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)) 2)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 z) 3) (pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 3) (pow.f64 (/.f64 1 z) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) z)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))))) 1)
(pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 (pow.f64 (-.f64 15/2 z) 2) (-.f64 1/2 z)))) (.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (exp.f64 (-.f64 15/2 z)) 2))))
(log.f64 (exp.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) (.f64 2 (pow.f64 (pow.f64 (-.f64 15/2 z) 2) (-.f64 1/2 z)))) 3/2) (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 (PI.f64) (.f64 2 (pow.f64 (pow.f64 (-.f64 15/2 z) 2) (-.f64 1/2 z)))) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))

Outputs
(*.f64 15 (PI.f64))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (*.f64 15 (PI.f64)))
(.f64 15 (+.f64 (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (*.f64 (PI.f64) z)) (PI.f64)))
(.f64 15 (fma.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (.f64 (PI.f64) z) (PI.f64)))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (+.f64 (.f64 15 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 2))) (.f64 (pow.f64 z 2) (PI.f64)))) (.f64 15 (PI.f64))))
(fma.f64 15 (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (.f64 (PI.f64) z)) (.f64 15 (+.f64 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 2))) (.f64 (PI.f64) (*.f64 z z))) (PI.f64))))
(.f64 15 (+.f64 (.f64 (PI.f64) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) z)) (fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 2) 58/225) (.f64 (PI.f64) (*.f64 z z)) (PI.f64))))
(+.f64 (.f64 15 (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (.f64 z (PI.f64)))) (+.f64 (.f64 15 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 2))) (.f64 (pow.f64 z 2) (PI.f64)))) (+.f64 (.f64 15 (PI.f64)) (.f64 15 (.f64 (pow.f64 z 3) (.f64 (+.f64 172/10125 (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) 3)) (.f64 58/225 (-.f64 (*.f64 -2 (log.f64 15/2)) 2/15)))) (PI.f64)))))))
(fma.f64 15 (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (.f64 (PI.f64) z)) (fma.f64 15 (.f64 (+.f64 58/225 (.f64 1/2 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 2))) (.f64 (PI.f64) (.f64 z z))) (.f64 15 (+.f64 (PI.f64) (.f64 (.f64 (pow.f64 z 3) (+.f64 172/10125 (fma.f64 1/6 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 3) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 58/225)))) (PI.f64))))))
(fma.f64 15 (.f64 (PI.f64) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) z)) (.f64 15 (+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 2) 58/225) (.f64 (PI.f64) (.f64 z z)) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 z 3) (+.f64 172/10125 (fma.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 58/225 (.f64 1/6 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 3)))))))))
(fma.f64 15 (.f64 (PI.f64) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) z)) (.f64 15 (+.f64 (.f64 (PI.f64) (.f64 (pow.f64 z 3) (+.f64 172/10125 (fma.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 58/225 (.f64 1/6 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 3)))))) (fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -2 (log.f64 15/2) -2/15) 2) 58/225) (.f64 (PI.f64) (.f64 z z)) (PI.f64)))))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.f64 2 (.f64 (exp.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (PI.f64)))
(.f64 2 (.f64 (PI.f64) (pow.f64 (exp.f64 2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(.f64 (pow.f64 (exp.f64 (.f64 2 (-.f64 1/2 z))) (log.f64 (-.f64 15/2 z))) (*.f64 (PI.f64) 2))
(.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 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)))
(+.f64 (.f64 9999999999998099/10000000000000000 (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 15/4 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -2 (log.f64 15/2)) 2/15) (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 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 15/4 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 15/2) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (exp.f64 -15/2))))))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 15/4 (/.f64 (*.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (sqrt.f64 2)) (/.f64 (sqrt.f64 15/2) (exp.f64 -15/2))))))))
(.f64 9999999999998099/10000000000000000 (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (/.f64 (.f64 15/4 (sqrt.f64 2)) (sqrt.f64 15/2)) (.f64 (fma.f64 -2 (log.f64 15/2) -2/15) (exp.f64 -15/2)))))))
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(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) 2) (-.f64 1/2 z)) (.f64 (PI.f64) 2)) 3/2) (.f64 (pow.f64 (exp.f64 (-.f64 15/2 z)) 3) 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))) 1))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 (.f64 (exp.f64 (-.f64 15/2 z)) 9999999999998099/10000000000000000) (sqrt.f64 (.f64 (PI.f64) 2))) (pow.f64 (-.f64 15/2 z) (/.f64 (-.f64 1/2 z) 1)))))
(.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))

localize37.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.44%	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.46%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
	1.56%	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 77 to 55 computations (28.6% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))

1.0ms

inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))

1.0ms

-inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))

rewrite108.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-*r/`
1034×	`associate-*l/`
930×	`associate-/r*`
418×	`add-sqr-sqrt`
400×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	426	61
2	5083	61

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))

Outputs

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simplify203.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1096×	`distribute-lft-neg-out`
1064×	`distribute-lft-neg-in`
998×	`distribute-rgt-neg-in`
942×	`times-frac`
734×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	9993
1	1048	9215
2	4854	9209

Stop Event

1×	node limit

Counts

135 → 195

Calls

Call 1

Inputs
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 7902188421553103227/180000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 7902188421553103227/180000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -7902188421553103227/30000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 7902188421553103227/180000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 -7902188421553103227/30000000000000000 (.f64 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -7902188421553103227/30000000000000000 (.f64 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (.f64 -1/5040 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)))) 1)
(/.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) z)) 7902188421553103227/30000000000000000) (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 1)
(/.f64 1 (/.f64 (sin.f64 (.f64 (PI.f64) z)) (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
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(/.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) (sqrt.f64 (sin.f64 (.f64 (PI.f64) z)))) 1) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
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(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) (.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)))))
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(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) 2)
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(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15))) 62444581849727925073340192313717813529/900000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000) 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 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) 1))
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Outputs
(.f64 7902188421553103227/30000000000000000 (.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 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(+.f64 (.f64 7902188421553103227/180000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 7902188421553103227/180000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
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(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) (neg.f64 (sqrt.f64 (sin.f64 (.f64 (PI.f64) z))))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(/.f64 (/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 (PI.f64) z))) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 1)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) 2)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) 3)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(pow.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 3) 1/3)
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 2) (.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15))) 62444581849727925073340192313717813529/900000000000000000000000000000000)))
(sqrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) 2) (.f64 (.f64 2 (PI.f64)) (.f64 (.f64 15/2 (exp.f64 -15)) 62444581849727925073340192313717813529/900000000000000000000000000000000))))
(sqrt.f64 (.f64 (.f64 2 (PI.f64)) (.f64 (.f64 (exp.f64 -15) 62444581849727925073340192313717813529/120000000000000000000000000000000) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z)))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000)) 3))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000) 3)))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) 3)))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (*.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))) 1))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (.f64 15/2 (exp.f64 -15)))) 7902188421553103227/30000000000000000))))
(.f64 (/.f64 (PI.f64) (/.f64 (sin.f64 (.f64 z (PI.f64))) 7902188421553103227/30000000000000000)) (sqrt.f64 (.f64 (.f64 2 (PI.f64)) (*.f64 15/2 (exp.f64 -15)))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))

localize324.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.51%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	0.93%	(*.f64 -9487795309719323173/900000000000000000 z)
	1.5%	(/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))
	1.56%	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 382 to 298 computations (22% saved)

series18.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

13.0ms

-inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

3.0ms

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

2.0ms

inf

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

rewrite84.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`add-sqr-sqrt`
1256×	`*-un-lft-identity`
1254×	`add-exp-log`
1254×	`add-cbrt-cube`
1254×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	189
1	1304	189

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 -3 z))))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 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simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-*r/`
984×	`associate-+r+`
940×	`associate-/l*`
888×	`associate-*l/`
864×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	4819
1	685	4235
2	2659	4085

Stop Event

1×	node limit

Counts

19 → 49

Calls

Call 1

Inputs
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(log.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(exp.f64 (log.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) z))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (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) z) (.f64 (exp.f64 -15/2) (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 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (.f64 (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))))
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(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (exp.f64 (+.f64 -15/2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 (fma.f64 -9487795309719323173/900000000000000000 z -6251307572601308353/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))))

eval992.0ms (1.2%)

Compiler: Compiled 43119 to 33189 computations (23% saved)

prune272.0ms (0.3%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	912	13	925
Fresh	16	17	33
Picked	0	1	1
Done	4	6	10
Total	932	37	969

Error

Counts

969 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	0.53%	(/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (.f64 (PI.f64) z)))
	1.83%	(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (sin.f64 (.f64 z (PI.f64))) (.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
	2.62%	(.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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.f64 1 (-.f64 1 z))) 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)))))
	2.64%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.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)))))
✓	1.69%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	0.77%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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))))))))
	3.19%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.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 7713234287776531/30000000000000))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
	2.72%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓	1.53%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
✓	1.95%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	2.31%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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))))))))
	97.9%	(.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 1078390842009938509147167/6250000000000000000000 (*.f64 z z))) (/.f64 611458333333720910362579/25000000000000000000000 z)))))
	98.03%	(.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)))))
	97.9%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 z))))))
✓	0.73%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 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 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))
	2.7%	(.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	1.69%	(.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)))))))
	97.75%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))))
✓	2.5%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
	3.27%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
	2.62%	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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)))))) (+.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)))))
	85.93%	(.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)))
	61.12%	(.f64 (/.f64 1 z) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
	85.93%	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.f64 (exp.f64 -15/2) 9999999999998099/10000000000000000)))
	85.96%	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 9999999999998099/10000000000000000)))
	2.57%	(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	2.53%	(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
	2.01%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (*.f64 z (PI.f64)))))
	2.61%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
	1.1%	(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (exp.f64 (log.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
	2.51%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
	2.42%	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
	61.12%	(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
	61.12%	(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
	2.87%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
	2.52%	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))

Compiler

Compiled 1796 to 1504 computations (16.3% saved)

regimes217.0ms (0.3%)

Counts

78 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 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 (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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.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))))))))
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(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (fma.f64 40269435042492127/90000000000000 z 9151757080597036297/30000000000000000)))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (fma.f64 40269435042492127/90000000000000 z (.f64 295755570232608827/540000000000000 (.f64 z z))) 9151757080597036297/30000000000000000) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.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 (+.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 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (exp.f64 (log.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (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)))))) (+.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (.f64 (.f64 z (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (PI.f64)) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))

Outputs

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

Calls

2 calls:

77.0ms

38.0ms

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

Results

Error	Segments	Branch
0.53%	1	`z`
0.53%	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 4052 to 3148 computations (22.3% saved)

regimes110.0ms (0.1%)

Counts

61 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 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 (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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.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 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.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)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (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) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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))))))))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (sin.f64 (.f64 z (PI.f64))) (.f64 (.f64 (PI.f64) (sqrt.f64 (*.f64 2 (PI.f64)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))

Outputs

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.77%	1	`z`

Compiler

Compiled 2347 to 1754 computations (25.3% saved)

regimes101.0ms (0.1%)

Counts

58 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

Outputs

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

Calls

1 calls:

48.0ms

Results

Error	Segments	Branch
1.1%	1	`z`

Compiler

Compiled 2125 to 1584 computations (25.5% saved)

regimes142.0ms (0.2%)

Counts

55 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 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 (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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 7902188421553103227/30000000000000000 (.f64 z (+.f64 39321001939258358983/90000000000000000 (.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 -6251307572601308353/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (-.f64 (*.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (*.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 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 4560878540298521/15000000000000 (*.f64 40269435042492127/90000000000000 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (+.f64 15/2 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 7713234287776531/30000000000000))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64))))))

Outputs

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

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
1.69%	1	`z`

Compiler

Compiled 1903 to 1415 computations (25.6% saved)

regimes80.0ms (0.1%)

Counts

43 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 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 (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 (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)))))))

Calls

1 calls:

53.0ms

Results

Error	Segments	Branch
1.95%	1	`z`

Compiler

Compiled 1153 to 863 computations (25.2% saved)

regimes45.0ms (0.1%)

Counts

41 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9151757080597036297/30000000000000000 (.f64 40269435042492127/90000000000000 z)) (+.f64 (-.f64 (.f64 -9487795309719323173/900000000000000000 z) 6251307572601308353/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1073194425937474004647167/6250000000000000000000 (*.f64 z z))) (/.f64 614922610715363913362579/25000000000000000000000 z))))))

Outputs

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
2.31%	1	`z`

Compiler

Compiled 1053 to 793 computations (24.7% saved)

regimes39.0ms (0%)

Counts

38 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2)) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (.f64 (exp.f64 -15) (*.f64 (PI.f64) 15)))))
(.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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 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 (neg.f64 z)) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) 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)) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))) (.f64 (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 (neg.f64 (+.f64 (-.f64 1 z) 13/2))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.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 (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)))))))

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
2.42%	1	`z`

Compiler

Compiled 910 to 692 computations (24% saved)

regimes28.0ms (0%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (sqrt.f64 (PI.f64))))
(.f64 7902188421553103227/30000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.52%	1	`z`

Compiler

Compiled 441 to 356 computations (19.3% saved)

regimes17.0ms (0%)

Accuracy

Total -16.7b remaining (-42.8%)

Threshold costs -16.7b (-42.8%)

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 15 (PI.f64))) (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))
(.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 (-.f64 15/2 z)))))
(/.f64 (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 (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 (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 (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)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 -15/2) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))) (*.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 (-.f64 z 15/2)) 9999999999998099/10000000000000000)))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z))))) (.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 (.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)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 7902188421553103227/30000000000000000))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
61.12%	1	`z`

Compiler

Compiled 351 to 283 computations (19.4% saved)

simplify203.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

752×	`distribute-lft-neg-in`
712×	`*-commutative`
384×	`distribute-neg-in`
378×	`+-commutative`
348×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1360
1	231	1348
2	256	1348
3	291	1348
4	334	1348
5	389	1348
6	440	1348
7	476	1348
8	525	1348
9	603	1348
10	745	1348
11	943	1348
12	1159	1348
13	1373	1348
14	1595	1348
15	1785	1348
16	1930	1348
17	2001	1348
18	2029	1348
19	2039	1348
20	2057	1348
21	2089	1348
22	2122	1348
23	2144	1348
24	2153	1348
25	2155	1348

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (sin.f64 (.f64 (PI.f64) z)))
(/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))))))) (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64)))))) (sin.f64 (.f64 z (PI.f64))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.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 z (PI.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)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -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 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 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 2 (PI.f64)))) (.f64 (exp.f64 (+.f64 z -15/2)) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 9999999999998099/10000000000000000))) (-.f64 (-.f64 (/.f64 -3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.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)) (+.f64 (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) 9999999999998099/10000000000000000)))))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -7713234287776531/10000000000000 (+.f64 z -3)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (.f64 2 (PI.f64))))) (sin.f64 (.f64 z (PI.f64)))))
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(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)))))
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(.f64 (/.f64 1 z) (.f64 7902188421553103227/30000000000000000 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (.f64 (PI.f64) 15)) (.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))))
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Compiler

Compiled 441 to 364 computations (17.5% saved)

soundness344.0ms (0.4%)

Algorithm

3×	egg-herbie

Rules

1406×	`associate-+r+`
1276×	`associate-*r/`
1204×	`associate-/r*`
1112×	`associate-+l+`
1006×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	311
1	163	293
2	616	237
3	4046	229
0	473	11627
1	1274	11231
2	5246	11183
0	283	5735
1	816	5029
2	3270	5005

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1452 to 1141 computations (21.4% saved)

end275.0ms (0.3%)

Compiler: Compiled 432 to 332 computations (23.1% saved)