Details

analyze823.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
0%	74.9%	25.1%	2
18.7%	56.2%	25.1%	3
37.5%	37.5%	25.1%	4
42.1%	32.8%	25.1%	5
46.8%	28.1%	25.1%	6
48%	26.9%	25.1%	7
49.2%	25.8%	25.1%	8
49.5%	25.5%	25.1%	9
49.8%	25.2%	25.1%	10
49.8%	25.2%	25.1%	11
49.8%	25.1%	25.1%	12

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.2min (85.5%)

Results

1.1min	4025×	body	8192	exit
5.7s	8256×	body	256	valid
142.0ms	177×	body	256	invalid

preprocess48.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115
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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.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)) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 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)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify38.0ms (0%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115

Stop Event

1×	node limit

Counts

1 → 2

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

eval3.0ms (0%)

Compiler: Compiled 198 to 166 computations (16.2% saved)

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Status

Error

Program

▶

0.7b

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

▶

1.7b

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

Compiler

Compiled 199 to 171 computations (14.1% saved)

localize185.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 506 to 386 computations (23.7% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`add-sqr-sqrt_binary64`
328×	`add-cbrt-cube_binary64`
328×	`add-exp-log_binary64`
328×	`add-log-exp_binary64`
328×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	55
1	682	55

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

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-883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.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 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2)) (cbrt.f64 (/.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 pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))))))

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

457×	`distribute-neg-frac_binary64`
428×	`associate-/r*_binary64`
369×	`fma-neg_binary64`
360×	`fma-def_binary64`
346×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	571
1	265	535
2	739	531
3	2305	531
4	5874	531

Stop Event

1×	node limit

Counts

171 → 177

Calls

Call 1

Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
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))))))

Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 43600364987677261/10000000000000 (/.f64 93965933656573373/10000000000000 z)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (.f64 (/.f64 1 (pow.f64 z 3)) (+.f64 43600364987677261/10000000000000 (/.f64 93965933656573373/10000000000000 z)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))
(fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (.f64 z 6764801184542762983/90000000000000000)))
(fma.f64 (*.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))
(fma.f64 z 6764801184542762983/90000000000000000 (fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) 646366562873259793/3000000000000000))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000))
(+.f64 (.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))))
(+.f64 (fma.f64 (.f64 z z) 139903109899614281171/5400000000000000000 (fma.f64 z 6764801184542762983/90000000000000000 646366562873259793/3000000000000000)) (.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000))
(fma.f64 z (*.f64 z 139903109899614281171/5400000000000000000) (fma.f64 z 6764801184542762983/90000000000000000 (fma.f64 (pow.f64 z 3) 2868249125582949494677/324000000000000000000 646366562873259793/3000000000000000)))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 121443148578839881/200000000000000 z)))
(-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z))
(neg.f64 (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -121443148578839881/200000000000000 z) (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 121443148578839881/200000000000000 (/.f64 1 z)) (.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (-.f64 (-.f64 (/.f64 -121443148578839881/200000000000000 z) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3))) (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)))
(+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 -121443148578839881/200000000000000 z) (-.f64 (/.f64 -177150158974872037/40000000000000 (pow.f64 z 3)) (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 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 (.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (.f64 z z) 7713234287776531/270000000000000 (.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 7713234287776531/30000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))))
(-.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 208257325769966337/10000000000000 z) -69419108589988779/10000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))))
(-.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (.f64 (/.f64 1 (pow.f64 z 3)) (-.f64 (/.f64 208257325769966337/10000000000000 z) -69419108589988779/10000000000000)))

localize305.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	6.3b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series8.0ms (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 1 z) 1)
0.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`add-sqr-sqrt_binary64`
327×	`add-log-exp_binary64`
327×	`pow1_binary64`
326×	`*-un-lft-identity_binary64`
326×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	76
1	685	57

Stop Event

1×	node limit

Counts

3 → 88

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))))

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
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Outputs

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simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
546×	`associate-l_binary64`
498×	`distribute-rgt-neg-out_binary64`
495×	`associate-r_binary64`
334×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	811
1	331	742
2	1125	687
3	6423	682

Stop Event

1×	node limit

Counts

124 → 114

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)))

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))
(fma.f64 z 904338909853211/2500000000000 (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 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)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 z 904338909853211/2500000000000 (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) 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 (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 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)))
(+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 3683516130645841/2000000000000 (*.f64 z z))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))) (/.f64 5826188486005177/10000000000000 z))
(+.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 (*.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 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 (*.f64 z z) (sqrt.f64 2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 z z) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 z z) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (-.f64 13/30 (log.f64 15/2))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.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))))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (.f64 1/6 (exp.f64 -15/2)) (sqrt.f64 15/2))))))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))))))
(fma.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (.f64 z (.f64 z (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))))))) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (*.f64 (pow.f64 z 3) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 z z) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))) (.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125))) 1/6))) (*.f64 (pow.f64 z 3) (sqrt.f64 2)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 z z) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (-.f64 13/30 (log.f64 15/2))))))) (.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125))) 1/6))) (*.f64 (pow.f64 z 3) (sqrt.f64 2)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.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 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))

eval1.1s (1.4%)

Compiler: Compiled 70264 to 58119 computations (17.3% saved)

prune122.0ms (0.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	598	16	614
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	599	17	616

Error

0.1b

Counts

616 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	1.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	1.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.8b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 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)))))
▶	3.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -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)))))
	3.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 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)))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	0.7b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (log.f64 (/.f64 1 (exp.f64 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)))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (+.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)))))
	2.4b	(.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 479507597606835099/10000000000000000 (/.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 2911 to 2471 computations (15.1% saved)

localize202.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
✓	1.0b	(sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))
✓	1.0b	(cbrt.f64 (*.f64 2 (PI.f64)))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 546 to 420 computations (23.1% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite43.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`pow1_binary64`
473×	`add-sqr-sqrt_binary64`
455×	`add-log-exp_binary64`
455×	`log1p-expm1-u_binary64`
455×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	119	15
2	1299	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4)) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2))) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (PI.f64)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

localize252.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
✓	1.0b	(sqrt.f64 (PI.f64))
	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
	6.3b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 764 to 666 computations (12.8% saved)

series0.0ms (0%)

Counts: 2 → 0

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
478×	`prod-exp_binary64`
392×	`exp-prod_binary64`
391×	`pow-prod-down_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	239	18
2	2604	16

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)) 2)) (cbrt.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2))) (sqrt.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15 (*.f64 (PI.f64) (exp.f64 -15))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (pow.f64 (*.f64 15 (PI.f64)) 1/2)) -15/2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (fma.f64 1/2 (log.f64 (PI.f64)) -15/2) 1) (log.f64 (sqrt.f64 15))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1) (log.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) (*.f64 (log.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1) (*.f64 (log.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (+.f64 -15/2 (log.f64 (pow.f64 (*.f64 (PI.f64) 15/2) 1/2))) 1) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 15)) (*.f64 (fma.f64 1/2 (log.f64 (PI.f64)) -15/2) 1)))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

72 → 72

Calls

Call 1

Inputs

Outputs

localize152.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
✓	1.0b	(+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 398 to 297 computations (25.4% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms	z	@	-inf	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms	z	@	inf	(.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))
1.0ms	z	@	0	(+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
1.0ms	z	@	inf	(+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`add-sqr-sqrt_binary64`
501×	`add-cbrt-cube_binary64`
501×	`add-log-exp_binary64`
500×	`add-exp-log_binary64`
500×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	110
1	1029	110

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.f64 (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))

simplify74.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

776×	`distribute-rgt-in_binary64`
372×	`fma-def_binary64`
345×	`cancel-sign-sub-inv_binary64`
305×	`distribute-rgt-neg-out_binary64`
287×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	793
1	347	751
2	1145	646
3	4625	569

Stop Event

1×	node limit

Counts

41 → 52

Calls

Call 1

Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(*.f64 6764801184542762983/90000000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z))))
(*.f64 6764801184542762983/90000000000000000 z)
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 6764801184542762983/90000000000000000 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (.f64 97530504109089732731175772185968631808/163142487244800000000000000000000000 (exp.f64 -15/2))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))
(+.f64 (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 2)))) (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))))))
(.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))

Outputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 z (.f64 z -76044331624539137747479981/118540800000000000000000000000))))
(fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))))
(+.f64 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 z (.f64 z -76044331624539137747479981/118540800000000000000000000000))) (fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)))
(*.f64 6764801184542762983/90000000000000000 z)
(*.f64 z 6764801184542762983/90000000000000000)
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
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(fma.f64 6764801184542762983/90000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 z (PI.f64)))) (/.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64)))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 z (PI.f64))) (.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (.f64 z (exp.f64 (+.f64 z -15/2))) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))))
(.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (PI.f64) 6493665628732592227/30000000000000000) (.f64 6764801184542762983/90000000000000000 (*.f64 z (PI.f64)))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 6764801184542762983/90000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 z (PI.f64)))) (/.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (*.f64 z (PI.f64))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 z (PI.f64))) (.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (.f64 z (exp.f64 (+.f64 z -15/2))) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 6493665628732592227/30000000000000000 (/.f64 14568935239021264214637421/25000000000000000000000 z))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) z) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 6493665628732592227/30000000000000000 (/.f64 14568935239021264214637421/25000000000000000000000 z))))
(+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 6764801184542762983/90000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 6764801184542762983/90000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 z (PI.f64)))) (fma.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (.f64 (.f64 z z) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))) (/.f64 (.f64 6493665628732592227/30000000000000000 (.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (sin.f64 (.f64 z (PI.f64)))))))
(fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (.f64 z (PI.f64))) (fma.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (PI.f64) (/.f64 (.f64 (.f64 z z) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (/.f64 (.f64 z (exp.f64 (+.f64 z -15/2))) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (fma.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (/.f64 z (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 6493665628732592227/30000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z))))))
(fma.f64 6764801184542762983/90000000000000000 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) z) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 6493665628732592227/30000000000000000 (+.f64 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)) (/.f64 14568935239021264214637421/25000000000000000000000 z)))))

localize186.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 509 to 387 computations (24% saved)

localize210.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
✓	1.5b	(cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))

Compiler

Compiled 559 to 433 computations (22.5% saved)

series5.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite91.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`fma-def_binary64`
391×	`fma-neg_binary64`
372×	`expm1-udef_binary64`
372×	`log1p-udef_binary64`
213×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	421	27
2	6229	27

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/6) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2))) (cbrt.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.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))) (cbrt.f64 (fma.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 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) 1))))))

simplify38.0ms (0%)

Algorithm

1×	egg-herbie

Rules

796×	`times-frac_binary64`
584×	`fma-def_binary64`
572×	`associate-/l*_binary64`
351×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	184
1	123	184
2	359	178
3	1610	171

Stop Event

1×	node limit

Counts

27 → 30

Calls

Call 1

Inputs
(cbrt.f64 646366562873259793/3000000000000000)
(+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (cbrt.f64 646366562873259793/3000000000000000))
(+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 139903109899614281171/5400000000000000000 (*.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3)))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (cbrt.f64 646366562873259793/3000000000000000)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) (-.f64 2868249125582949494677/324000000000000000000 (+.f64 (.f64 6764801184542762983/135000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5)) 1/3) (-.f64 139903109899614281171/5400000000000000000 (.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3))))) (.f64 309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)))))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 139903109899614281171/5400000000000000000 (*.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3)))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (cbrt.f64 646366562873259793/3000000000000000))))

Outputs
(cbrt.f64 646366562873259793/3000000000000000)
(+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (cbrt.f64 646366562873259793/3000000000000000))
(fma.f64 6764801184542762983/270000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (cbrt.f64 646366562873259793/3000000000000000))
(+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 139903109899614281171/5400000000000000000 (*.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3)))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (cbrt.f64 646366562873259793/3000000000000000)))
(fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (/.f64 (.f64 z z) (/.f64 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2) (-.f64 139903109899614281171/5400000000000000000 (*.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))))))) (cbrt.f64 646366562873259793/3000000000000000)))
(fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (.f64 (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (+.f64 139903109899614281171/5400000000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000))) (cbrt.f64 646366562873259793/3000000000000000)))
(fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000) (/.f64 z (/.f64 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2) z))) (cbrt.f64 646366562873259793/3000000000000000)))
(fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (.f64 z (*.f64 (/.f64 z (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000))) (cbrt.f64 646366562873259793/3000000000000000)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) (-.f64 2868249125582949494677/324000000000000000000 (+.f64 (.f64 6764801184542762983/135000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5)) 1/3) (-.f64 139903109899614281171/5400000000000000000 (.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3))))) (.f64 309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)))))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (+.f64 (.f64 6764801184542762983/270000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) 1/3) z)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 z 2) (-.f64 139903109899614281171/5400000000000000000 (*.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000)) 1/3)))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (cbrt.f64 646366562873259793/3000000000000000))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) (-.f64 2868249125582949494677/324000000000000000000 (fma.f64 6764801184542762983/135000000000000000 (.f64 (-.f64 139903109899614281171/5400000000000000000 (.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5)))) (/.f64 309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))))) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (/.f64 (.f64 z z) (/.f64 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2) (-.f64 139903109899614281171/5400000000000000000 (.f64 45762535066391169196354135399715058289/24300000000000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))))))) (cbrt.f64 646366562873259793/3000000000000000))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (-.f64 2868249125582949494677/324000000000000000000 (fma.f64 6764801184542762983/135000000000000000 (.f64 (+.f64 139903109899614281171/5400000000000000000 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5)))) (/.f64 309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))))) (fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (.f64 (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (+.f64 139903109899614281171/5400000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000))) (cbrt.f64 646366562873259793/3000000000000000))))
(fma.f64 1/3 (.f64 (-.f64 2868249125582949494677/324000000000000000000 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000) (.f64 6764801184542762983/135000000000000000 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5)))) (/.f64 309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)))) (/.f64 (pow.f64 z 3) (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) (fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (fma.f64 1/3 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000) (/.f64 z (/.f64 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2) z))) (cbrt.f64 646366562873259793/3000000000000000))))
(+.f64 (cbrt.f64 646366562873259793/3000000000000000) (fma.f64 6764801184542762983/270000000000000000 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))) z) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2)) (+.f64 (.f64 (pow.f64 z 3) (+.f64 2868249125582949494677/324000000000000000000 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 5))) -6764801184542762983/135000000000000000) (/.f64 -309574451424802710028917357673159622829991456562956516087/19683000000000000000000000000000000000000000000000000 (pow.f64 (cbrt.f64 646366562873259793/3000000000000000) 2))))) (.f64 z (.f64 z (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 646366562873259793/3000000000000000))) -45762535066391169196354135399715058289/24300000000000000000000000000000000 139903109899614281171/5400000000000000000)))))))

eval1.6s (2%)

Compiler: Compiled 96414 to 76430 computations (20.7% saved)

prune190.0ms (0.2%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1043	22	1065
Fresh	8	3	11
Picked	1	0	1
Done	3	2	5
Total	1055	27	1082

Error

0.0b

Counts

1082 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.7b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
	1.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	0.8b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	3.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (/.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)))))
▶	62.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	2.4b	(.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 479507597606835099/10000000000000000 (/.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)))))
	39.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	0.7b	(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 128938617008833505358200074613579/118540800000000000000000000000 (.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000))) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000)))))
▶	1.9b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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)))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (+.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)))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 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 3367 to 2841 computations (15.6% saved)

localize208.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
	1.0b	(cbrt.f64 (*.f64 2 (PI.f64)))
✓	1.0b	(pow.f64 (*.f64 2 (PI.f64)) 1/6)
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 547 to 421 computations (23% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite41.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`pow1_binary64`
530×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1417	8

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(pow.f64 (*.f64 2 (PI.f64)) 1/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/12) (pow.f64 (*.f64 2 (PI.f64)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/6) (pow.f64 (*.f64 2 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2) 1/6) (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (*.f64 2 (PI.f64)))))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

17 → 17

Calls

Call 1

Inputs

Outputs

localize40.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
✓	0.5b	(/.f64 (exp.f64 -15/2) z)
✓	0.6b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 73 to 57 computations (21.9% saved)

series8.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
2.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
1.0ms	z	@	0	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
1.0ms	z	@	inf	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log-prod_binary64`
340×	`expm1-udef_binary64`
340×	`log1p-udef_binary64`
278×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	397	45
2	4988	45

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 (exp.f64 -15/2))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 z)) (log.f64 1106209385320415913103082059/4200000000000000000000000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (exp.f64 -15/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 1)))) (#(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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 3)))))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1))))))

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

604×	`associate-l_binary64`
593×	`associate-r_binary64`
560×	`distribute-rgt-out_binary64`
477×	`times-frac_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	588
1	231	561
2	790	511
3	4944	480

Stop Event

1×	node limit

Counts

92 → 91

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 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 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 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 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (pow.f64 z 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)))))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))

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 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (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 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (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 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (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 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.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 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (pow.f64 z 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)))))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (.f64 (sqrt.f64 15/2) (.f64 z z)) (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))))))) (.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (.f64 z z))) (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))) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z))))) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125)) (.f64 (.f64 z z) (sqrt.f64 2)))) (sqrt.f64 (PI.f64))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 z (.f64 z (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125)))) (-.f64 -1/15 (log.f64 15/2)))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) z) (/.f64 (sqrt.f64 2) z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))

localize200.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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))))
	1.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))
	1.0b	(sqrt.f64 (PI.f64))
	6.3b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 579 to 494 computations (14.7% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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))))

1.0ms

inf

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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))))

1.0ms

-inf

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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))))

rewrite75.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

592×	`add-cbrt-cube_binary64`
592×	`add-log-exp_binary64`
591×	`add-exp-log_binary64`
591×	`log1p-expm1-u_binary64`
591×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	100
1	1246	100

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)) (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)) (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))) (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))))))))

simplify68.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

696×	`times-frac_binary64`
517×	`associate-/l*_binary64`
514×	`associate-r_binary64`
502×	`associate-l_binary64`
414×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	735
1	154	693
2	566	615
3	3147	467
4	7872	467

Stop Event

1×	node limit

Counts

20 → 24

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 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 962814084153887111720706672612687872/108761658163200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))))
(.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))) (sqrt.f64 2))))
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(+.f64 (.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (PI.f64)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(fma.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z z))) (fma.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (fma.f64 904338909853211/2500000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) 904338909853211/2500000000000) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -10432597066258314615852833/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 479507597606835099/10000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) z))) 904338909853211/2500000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) -15176929548346663410362579/25000000000000000000000) (/.f64 z (sqrt.f64 15/2))) (exp.f64 -15/2))) (fma.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (.f64 z z))) (.f64 (sqrt.f64 15/2) (.f64 (.f64 479507597606835099/10000000000000000 (exp.f64 -15/2)) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))) (.f64 (.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 15/2) z) (exp.f64 -15/2))) (+.f64 -15176929548346663410362579/25000000000000000000000 (/.f64 -10432597066258314615852833/6250000000000000000000 z)))))

localize119.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 6764801184542762983/90000000000000000 z)
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 293 to 210 computations (28.3% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
1.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
0.0ms	z	@	-inf	(*.f64 6764801184542762983/90000000000000000 z)
0.0ms	z	@	inf	(*.f64 6764801184542762983/90000000000000000 z)

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
391×	`pow-prod-down_binary64`
331×	`pow2_binary64`
315×	`prod-diff_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	255	23
2	3267	23

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
(*.f64 6764801184542762983/90000000000000000 z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (exp.f64 (+.f64 z -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (exp.f64 (+.f64 z -15/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (/.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))) (exp.f64 (+.f64 z -15/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 z -15/2) (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 z -15/2) (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z 6764801184542762983/90000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) 6764801184542762983/90000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) 6764801184542762983/90000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) 6764801184542762983/90000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) 6764801184542762983/90000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z 6764801184542762983/90000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 6764801184542762983/90000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 45762535066391169196354135399715058289/8100000000000000000000000000000000 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z 6764801184542762983/90000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 6764801184542762983/90000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 6764801184542762983/90000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 45762535066391169196354135399715058289/8100000000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) 6764801184542762983/90000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z 6764801184542762983/90000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z 6764801184542762983/90000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z 6764801184542762983/90000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z 6764801184542762983/90000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z 6764801184542762983/90000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z 6764801184542762983/90000000000000000)) 1))))))

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-def_binary64`
363×	`times-frac_binary64`
297×	`distribute-rgt-in_binary64`
263×	`associate-+l-_binary64`
245×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	266
1	99	259
2	235	251
3	964	242
4	3803	242

Stop Event

1×	node limit

Counts

57 → 54

Calls

Call 1

Inputs
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/6 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))

Outputs
(/.f64 (exp.f64 -15/2) z)
(+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/2) (.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/6))) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (fma.f64 z (*.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2)) (/.f64 (exp.f64 -15/2) z)))
(+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/6 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/6) (.f64 1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (.f64 z z) (fma.f64 (+.f64 (.f64 (exp.f64 -15/2) 1/2) (.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 (.f64 1/6 (+.f64 (exp.f64 -15/2) (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) (.f64 z z) (fma.f64 z (fma.f64 (exp.f64 -15/2) 1/2 (.f64 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1/6)) (/.f64 (exp.f64 -15/2) z))))
(+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/6))) (fma.f64 z (.f64 1/6 (.f64 (*.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (exp.f64 -15/2)) z)) (/.f64 (exp.f64 -15/2) z))))
(fma.f64 z (fma.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2) (.f64 z (.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/6)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(fma.f64 z (fma.f64 z (.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/6)) (.f64 (exp.f64 -15/2) (fma.f64 (pow.f64 (PI.f64) 2) 1/6 1/2))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))) (sin.f64 (.f64 z (PI.f64))))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))

localize238.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 479507597606835099/10000000000000000 (/.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))))
	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	6.3b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 668 to 581 computations (13% saved)

series22.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

(*.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 479507597606835099/10000000000000000 (/.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))))

2.0ms

inf

(*.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 479507597606835099/10000000000000000 (/.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))))

2.0ms

-inf

(*.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 479507597606835099/10000000000000000 (/.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))))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-log-exp_binary64`
587×	`add-cbrt-cube_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	119
1	1228	119

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.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 479507597606835099/10000000000000000 (/.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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.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 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 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(+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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)))))))))))

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary64`
446×	`distribute-rgt-in_binary64`
445×	`distribute-lft-in_binary64`
410×	`*-commutative_binary64`
334×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1400
1	436	1325
2	1856	1220
3	7918	1214

Stop Event

1×	node limit

Counts

20 → 28

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 (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (+.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)))))) (.f64 17677775146260978562117317613/235200000000000000000000000 (.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 (.f64 (.f64 (+.f64 (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))))))) (.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 (sqrt.f64 2) (+.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)))))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (.f64 (.f64 z (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (+.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)))))) (.f64 17677775146260978562117317613/235200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64)))))
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Outputs
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 479507597606835099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) (.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 z) (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (.f64 -27648536961327461428716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 -15176929548346663410362579/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 479507597606835099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64)))) 479507597606835099/10000000000000000))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z)))) (.f64 (sqrt.f64 (PI.f64)) 479507597606835099/10000000000000000))
(+.f64 (.f64 -15176929548346663410362579/25000000000000000000000 (.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))))) z) (sqrt.f64 (PI.f64)))) (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))))
(fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z)) (.f64 479507597606835099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 479507597606835099/10000000000000000 (sqrt.f64 2)) (.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (*.f64 -15176929548346663410362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 479507597606835099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) (.f64 -15176929548346663410362579/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 -15176929548346663410362579/25000000000000000000000 (.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))))) z) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 479507597606835099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))))
(fma.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z)) (.f64 479507597606835099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 479507597606835099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) (.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 z) (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
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(fma.f64 -27648536961327461428716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (pow.f64 z 3))) (fma.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (.f64 z z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z)) (.f64 479507597606835099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 (sqrt.f64 2) (/.f64 (.f64 479507597606835099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z)))) (.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 z) (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (.f64 -27648536961327461428716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 -15176929548346663410362579/25000000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 z (sqrt.f64 2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

eval1.5s (1.8%)

Compiler: Compiled 85823 to 69355 computations (19.2% saved)

prune176.0ms (0.2%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1023	16	1039
Fresh	7	13	20
Picked	1	0	1
Done	3	3	6
Total	1034	32	1066

Error

0.0b

Counts

1066 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	39.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.1b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
▶	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
	1.8b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
▶	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (.f64 15 (.f64 (PI.f64) (exp.f64 -15)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)) (/.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)))))
	1.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	62.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
✓	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
	2.3b	(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
	2.1b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 904816194325545171523082059/4200000000000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	62.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
	1.9b	(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
▶	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
▶	2.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 z 1)))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	46.3b	(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
	2.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
▶	62.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 128938617008833505358200074613579/118540800000000000000000000000 (.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000))) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000)))))
✓	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
	1.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))

Compiler

Compiled 2703 to 2296 computations (15.1% saved)

localize173.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))
✓	1.0b	(*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))
✓	1.0b	(*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))

Compiler

Compiled 343 to 310 computations (9.6% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
828×	`add-log-exp_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	222	22
2	2309	22

Stop Event

1×	node limit

Counts

3 → 35

Calls

Call 1

Inputs

(*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))

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

(*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 3786896933673675991932441584930249081317316482886005515995760361/14051921264640000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 61537768351425256993662252520019/118540800000000000000000000000) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 61537768351425256993662252520019/118540800000000000000000000000)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10559202409546067423540508137614922007509279127314320017769/55319040000000000000000000000000000000000000000000000 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 102757979785251069442117317613/235200000000000000000000000) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 102757979785251069442117317613/235200000000000000000000000)))))))

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

35 → 35

Calls

Call 1

Inputs

Outputs

localize31.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
✓	0.7b	(.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(*.f64 (sqrt.f64 2) (exp.f64 -15/2))

Compiler

Compiled 59 to 42 computations (28.8% saved)

series10.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))
2.0ms	z	@	0	(.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))
1.0ms	z	@	-inf	(.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))
1.0ms	z	@	-inf	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
1.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

rewrite78.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
398×	`pow2_binary64`
282×	`pow1/3_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	335	53
2	4117	53

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (exp.f64 -15))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 -5/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 2 1/4) (exp.f64 -15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -45/2) (*.f64 2 (sqrt.f64 2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 2) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 2) -15/2) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (/.f64 z (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 2 (exp.f64 -15)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) z) (pow.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) 1) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) (cbrt.f64 (/.f64 (*.f64 z z) (PI.f64)))) (cbrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64))))) (sqrt.f64 (/.f64 z (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (exp.f64 -15)))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (neg.f64 (sqrt.f64 15/2))) (/.f64 (neg.f64 z) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3) (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z)) 3) (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3) (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z)) 3) (pow.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (*.f64 2 (exp.f64 -15))) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (*.f64 z z) (PI.f64))))) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) z))))) -15/2) 1))))))

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

324×	`associate-/r/_binary64`
288×	`associate-/l*_binary64`
252×	`associate-l_binary64`
167×	`associate-r_binary64`
165×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	564
1	28	564
2	72	564
3	262	564
4	776	564
5	1418	564
6	1643	564
7	1679	564
8	1681	564
9	1681	564

Stop Event

1×

saturated

Counts

94 → 74

Calls

Call 1

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

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

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
✓	0.6b	(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.1b	(*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))

Compiler

Compiled 84 to 67 computations (20.2% saved)

series9.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
1.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
1.0ms	z	@	0	(*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))

rewrite111.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`expm1-udef_binary64`
386×	`log1p-udef_binary64`
382×	`prod-diff_binary64`
291×	`fma-def_binary64`
225×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	453	49
2	5817	49

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

(*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))

(/.f64 1106209385320415913103082059/4200000000000000000000000 z)

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

Outputs

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(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000)) (*.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 sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (*.f64 (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000) (*.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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1106209385320415913103082059/4200000000000000000000000 z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))))))

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

626×	`times-frac_binary64`
595×	`associate-/l*_binary64`
539×	`associate-l_binary64`
477×	`associate-r_binary64`
374×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1039
1	275	997
2	861	917
3	4574	765

Stop Event

1×	node limit

Counts

116 → 111

Calls

Call 1

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

Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(fma.f64 54901901787731453525296637639/78400000000000000000000000 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000))
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(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 z (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (.f64 54901901787731453525296637639/78400000000000000000000000 (-.f64 -1/15 (log.f64 15/2)))))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))) (fma.f64 z (.f64 z (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) 54901901787731453525296637639/78400000000000000000000000) (.f64 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125)) 1106209385320415913103082059/4200000000000000000000000))))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z) (sqrt.f64 (PI.f64)))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))
(+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))
(+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 2)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (.f64 54901901787731453525296637639/78400000000000000000000000 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 (.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (sqrt.f64 2))))))

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) z)
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.3b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 105 to 78 computations (25.7% saved)

series9.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
1.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
1.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite100.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`prod-diff_binary64`
392×	`log1p-udef_binary64`
234×	`associate-r_binary64`
230×	`add-sqr-sqrt_binary64`
217×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	471	47
2	5951	47

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))

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

(*.f64 (PI.f64) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (*.f64 z 102757979785251069442117317613/235200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 15) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 2))) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))) (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (sin.f64 (*.f64 (PI.f64) z)))) (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15) (fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000))))) 1))))))

((#(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 (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 1 (/.f64 (PI.f64) (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 (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 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (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 (/.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 (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 (sqrt.f64 (PI.f64)) (cbrt.f64 (pow.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 1 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (pow.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 (/.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 (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 pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)))) (#(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 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)))) (#(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 (/.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 log1p.f64 (expm1.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 -.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 (pow.f64 (*.f64 (PI.f64) z) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 (PI.f64) z)) 2)))) (#(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 (PI.f64)) z))))) (#(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 log1p.f64 (expm1.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))))))

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-l_binary64`
631×	`associate-r_binary64`
550×	`cancel-sign-sub-inv_binary64`
406×	`distribute-rgt-neg-in_binary64`
400×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1019
1	247	961
2	845	905
3	4669	786

Stop Event

1×	node limit

Counts

111 → 96

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 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (.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 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.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 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 102757979785251069442117317613/1411200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (sqrt.f64 (pow.f64 (PI.f64) 5)))))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(/.f64 1 z)
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(/.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))
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(*.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))

Outputs
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(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
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(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) z))) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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)))))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) z))) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) z) (pow.f64 (PI.f64) 3/2)))
(.f64 (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) z) (.f64 102757979785251069442117317613/235200000000000000000000000 (pow.f64 (PI.f64) 3/2)))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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)))))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) z))) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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)))))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) z))) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z))) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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)))))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (pow.f64 (PI.f64) 3))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) (sin.f64 (*.f64 z (PI.f64)))))))
(.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sin.f64 (.f64 z (PI.f64)))) (sqrt.f64 15/2)) (/.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 -15/2) z))) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(fma.f64 z (*.f64 1/6 (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z)))
(fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3))))
(fma.f64 z (.f64 1/6 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 (PI.f64) 4) 7/360) (/.f64 1 z)))
(fma.f64 (pow.f64 z 3) (.f64 (pow.f64 (PI.f64) 4) 7/360) (fma.f64 z (.f64 1/6 (pow.f64 (PI.f64) 2)) (/.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))))
(fma.f64 -1 (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 4) -7/360)) (.f64 (pow.f64 (PI.f64) 6) 1/840))) (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (fma.f64 -1 (.f64 (*.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)) (/.f64 1 z))))
(-.f64 (fma.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 1 z) (.f64 (.f64 (pow.f64 (PI.f64) 4) -7/360) (pow.f64 z 3)))) (.f64 (pow.f64 z 5) (fma.f64 1/6 (.f64 (pow.f64 (PI.f64) 6) -7/360) (.f64 (pow.f64 (PI.f64) 6) 1/840))))
(-.f64 (fma.f64 z (.f64 1/6 (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 (PI.f64) 4) 7/360) (/.f64 1 z))) (.f64 (pow.f64 z 5) (fma.f64 (pow.f64 (PI.f64) 6) 1/840 (.f64 (pow.f64 (PI.f64) 6) -7/2160))))
(-.f64 (fma.f64 (pow.f64 z 3) (.f64 (pow.f64 (PI.f64) 4) 7/360) (fma.f64 z (.f64 1/6 (pow.f64 (PI.f64) 2)) (/.f64 1 z))) (.f64 (pow.f64 z 5) (.f64 (pow.f64 (PI.f64) 6) -31/15120)))
(/.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))

localize120.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 6764801184542762983/90000000000000000 z)
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

Compiler

Compiled 296 to 211 computations (28.7% saved)

eval384.0ms (0.5%)

Compiler: Compiled 22233 to 17168 computations (22.8% saved)

prune110.0ms (0.1%)

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	575	22	597
Fresh	17	7	24
Picked	0	1	1
Done	3	4	7
Total	595	34	629

Error

Counts

629 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	2.1b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	2.6b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
	4.0b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
	39.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (-.f64 (+.f64 1 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))) 1))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
	1.3b	(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
	2.9b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
✓	62.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.8b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
	2.9b	(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
	3.1b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
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	2.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 128938617008833505358200074613579/118540800000000000000000000000 (.f64 (pow.f64 (PI.f64) 2) 1106209385320415913103082059/25200000000000000000000000))) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000)))))
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	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
✓	0.7b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.4b	(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
	2.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
✓	2.3b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
	1.9b	(.f64 (.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.3b	(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
✓	1.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
	62.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
	62.4b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (+.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (/.f64 (exp.f64 -15/2) z))))))
	1.1b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
	3.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
	2.4b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
✓	2.5b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 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)))))
	2.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
	2.6b	(fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 z (pow.f64 (PI.f64) 5/2)) 1106209385320415913103082059/25200000000000000000000000)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000)))))

Compiler

Compiled 1285 to 1126 computations (12.4% saved)

regimes178.0ms (0.2%)

Counts

78 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 2) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 (log.f64 (/.f64 1 (exp.f64 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)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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Outputs

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Calls

2 calls:

38.0ms

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

34.0ms

Results

Error	Segments	Branch
0.7b	1	`z`
0.7b	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 4094 to 3276 computations (20% saved)

regimes171.0ms (0.2%)

Counts

76 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 (log.f64 (/.f64 1 (exp.f64 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)))))
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(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs

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

Calls

2 calls:

36.0ms

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

33.0ms

Results

Error	Segments	Branch
0.7b	1	`z`
0.7b	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 3925 to 3145 computations (19.9% saved)

regimes165.0ms (0.2%)

Counts

75 → 1

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 (log.f64 (/.f64 1 (exp.f64 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)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (pow.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1/3) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 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 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.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 (-.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 479507597606835099/10000000000000000 (/.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)))))
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (-.f64 (+.f64 1 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))) 1))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 z (pow.f64 (PI.f64) 5/2)) 1106209385320415913103082059/25200000000000000000000000)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs

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

Calls

2 calls:

35.0ms

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

33.0ms

Results

Error	Segments	Branch
0.7b	1	`z`
0.7b	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 3842 to 3081 computations (19.8% saved)

regimes114.0ms (0.1%)

Counts

65 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (+.f64 (.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 z (pow.f64 (PI.f64) 5/2)) 1106209385320415913103082059/25200000000000000000000000)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2761 to 2199 computations (20.4% saved)

regimes92.0ms (0.1%)

Counts

62 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 7713234287776531/30000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 469507597606837/10000000000000) (+.f64 (+.f64 646366562873259793/3000000000000000 (.f64 6764801184542762983/90000000000000000 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
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(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
1.1b	1	`z`

Compiler

Compiled 2538 to 2031 computations (20% saved)

regimes37.0ms (0%)

Counts

35 → 1

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 z (pow.f64 (PI.f64) 5/2)) 1106209385320415913103082059/25200000000000000000000000)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (PI.f64)))) 3) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 z (.f64 (sqrt.f64 2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (/.f64 (sqrt.f64 2) (sin.f64 (.f64 z (PI.f64)))) (+.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 (.f64 (PI.f64) 2) (pow.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) 2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 6764801184542762983/90000000000000000 z)))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.3b	1	`z`

Compiler

Compiled 798 to 650 computations (18.5% saved)

regimes22.0ms (0%)

Accuracy

Total -45.0b remaining (-2444.9%)

Threshold costs -45.0b (-2444.9%)

Counts

23 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (.f64 (PI.f64) 2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (pow.f64 (.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 -45/2)) 1/3)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (cbrt.f64 (pow.f64 (PI.f64) 3/2)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (pow.f64 (exp.f64 1/2) (log.f64 (PI.f64))))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 2 (exp.f64 -15))))))
(.f64 (/.f64 1 z) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z 102757979785251069442117317613/235200000000000000000000000)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))) (/.f64 (sqrt.f64 2) z)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) z) (*.f64 (sqrt.f64 2) 102757979785251069442117317613/235200000000000000000000000))))
(sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 2 (exp.f64 -15)) (/.f64 15/2 (/.f64 (.f64 z z) (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (/.f64 z (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 423 to 340 computations (19.6% saved)

simplify33.0ms (0%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
38×	`+-commutative_binary64`
20×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	698
1	213	698
2	241	698
3	257	698
4	267	698
5	272	698
6	274	698

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Outputs
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (pow.f64 (.f64 2 (PI.f64)) 1/6)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 1 z) (.f64 6765203681218851/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))) (.f64 (-.f64 1 z) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)))))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))) (sqrt.f64 (.f64 2 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 z (+.f64 (+.f64 (.f64 (exp.f64 -15/2) 61537768351425256993662252520019/118540800000000000000000000000) (+.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/8400000000000000000000000) (.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 z (+.f64 (+.f64 (.f64 (exp.f64 -15/2) 61537768351425256993662252520019/118540800000000000000000000000) (+.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/8400000000000000000000000) (.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000))) (.f64 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)) 1106209385320415913103082059/25200000000000000000000000))) (+.f64 (.f64 (exp.f64 -15/2) 102757979785251069442117317613/235200000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (exp.f64 -15/2) z) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))) 54901901787731453525296637639/78400000000000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 15/2)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) 1106209385320415913103082059/4200000000000000000000000))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))))

Compiler

Compiled 450 to 382 computations (15.1% saved)

soundness283.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

503×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
337×	`associate-+l+_binary64`
288×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	639	119
3	4381	115

Stop Event

1×	node limit

Compiler

Compiled 10126 to 8768 computations (13.4% saved)

end193.0ms (0.2%)

Compiler: Compiled 443 to 356 computations (19.6% saved)