Details

analyze724.0ms (0.8%)

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 (85.8%)

Results

1.1min	3772×	body	8192	exit
6.4s	8256×	body	256	valid
162.0ms	178×	body	256	invalid

preprocess52.0ms (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)

simplify40.0ms (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)

localize194.0ms (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))))
1.0ms	z	@	-inf	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite94.0ms (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))))))

simplify70.0ms (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)))

localize388.0ms (0.5%)

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 (+.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))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	5.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series14.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(.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))))
3.0ms	z	@	-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 (+.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))))
2.0ms	z	@	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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))))
0.0ms	z	@	inf	(-.f64 (-.f64 1 z) 1)
0.0ms	z	@	inf	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite101.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`add-log-exp_binary64`
697×	`add-cbrt-cube_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	175
1	1449	175

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

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

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 (*.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
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.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 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 2 (PI.f64))) (.f64 (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 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)) (.f64 (sqrt.f64 (.f64 2 (PI.f64))) (.f64 (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) 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Outputs

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

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

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(-.f64 (-.f64 1 z) -7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2))) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.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))))))))))))

simplify66.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary64`
563×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`
410×	`*-commutative_binary64`
315×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1394
1	512	1313
2	2047	1228

Stop Event

1×	node limit

Counts

67 → 67

Calls

Call 1

Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
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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
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(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
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(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))
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9999999999998099/10000000000000000
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(fma.f64 -398308844029173303716389/6250000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (.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 9999999999998099/10000000000000000 (sqrt.f64 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 z 3)) (*.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 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 2) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 z -15/2))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (.f64 9999999999998099/10000000000000000 (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 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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))))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (.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 9999999999998099/10000000000000000 (sqrt.f64 2)) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (pow.f64 z 3)) (*.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 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

eval782.0ms (0.9%)

Compiler: Compiled 43073 to 35357 computations (17.9% saved)

prune137.0ms (0.2%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	382	25	407
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	383	26	409

Error

0.1b

Counts

409 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 2) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))))))
	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 (fma.f64 (cbrt.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (cbrt.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))))))
	1.9b	(.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))))))
	0.8b	(.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 1 (-.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))))))
▶	2.5b	(.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 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))))))
	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 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.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))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (.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))))))
	1.7b	(.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 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (+.f64 1 (.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)))))
	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 (neg.f64 z) 8)))))
	2.6b	(.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))))))))) (.f64 (.f64 z z) (.f64 (sqrt.f64 2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (-.f64 -1/15 (log.f64 15/2)) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000)))))))))
	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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.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)))))
▶	2.2b	(.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 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)))))
	1.7b	(.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 (cbrt.f64 (.f64 (.f64 (+.f64 (-.f64 1 z) -1) (+.f64 (-.f64 1 z) -1)) (+.f64 (-.f64 1 z) -1))) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
	0.8b	(.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 2 z) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.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))))))
	2.9b	(.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)))))
	1.6b	(.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 (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))))))
	63.7b	(.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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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))))))
	62.6b	(.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 -121443148578839881/200000000000000 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 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓	0.7b	(.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))))))
▶	0.6b	(.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))))))
	1.7b	(.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 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))))))
▶	62.6b	(.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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 4501 to 3817 computations (15.2% 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	(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)))))))

simplify8.0ms (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

localize144.0ms (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 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))))
✓	0.9b	(+.f64 646366562873259793/3000000000000000 (+.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 369 to 275 computations (25.5% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(.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))))
2.0ms	z	@	0	(.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))))
1.0ms	z	@	inf	(.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))))
1.0ms	z	@	0	(+.f64 646366562873259793/3000000000000000 (+.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 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite74.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`add-sqr-sqrt_binary64`
465×	`add-cbrt-cube_binary64`
465×	`add-log-exp_binary64`
464×	`add-exp-log_binary64`
464×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	98
1	956	98

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs

(+.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 (+.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))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 646366562873259793/3000000000000000 (+.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 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 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 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 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 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 270045314111149317828226089380810675507433529344350257/27000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 417789733600591705031065998070402849/9000000000000000000000000000000 (-.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 646366562873259793/3000000000000000 (+.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 417789733600591705031065998070402849/9000000000000000000000000000000 (*.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 646366562873259793/3000000000000000 (+.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 pow.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 646366562873259793/3000000000000000 (+.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 cbrt.f64 (*.f64 (*.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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 646366562873259793/3000000000000000 (+.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 expm1.f64 (log1p.f64 (+.f64 646366562873259793/3000000000000000 (+.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 log1p.f64 (expm1.f64 (+.f64 646366562873259793/3000000000000000 (+.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 exp.f64 (log.f64 (+.f64 646366562873259793/3000000000000000 (+.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 pow.f64 (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (+.f64 (+.f64 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 646366562873259793/3000000000000000 (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))))))))))

simplify72.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

424×	`fma-def_binary64`
345×	`cancel-sign-sub-inv_binary64`
334×	`times-frac_binary64`
313×	`distribute-rgt-out_binary64`
274×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	805
1	357	775
2	1225	599
3	5299	578

Stop Event

1×	node limit

Counts

41 → 51

Calls

Call 1

Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 -2715848032326100368047161/705600000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z) (+.f64 (.f64 (pow.f64 z 2) (-.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 61537768351425256993662252520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 11905579114879117765036105003169999/19914854400000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/1411200000000000000000000000 (exp.f64 -15/2))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.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 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 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 (.f64 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.f64 (.f64 14568935239021264214637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.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 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (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 6493665628732592227/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (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 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))))))
(+.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 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.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 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 -2715848032326100368047161/705600000000000000000000000 z))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z))))
(+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000))
(fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000))
(+.f64 (.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 -2715848032326100368047161/705600000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 (fma.f64 -2715848032326100368047161/705600000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (.f64 -76044331624539137747479981/118540800000000000000000000000 (.f64 z z))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -76044331624539137747479981/118540800000000000000000000000) 904816194325545171523082059/4200000000000000000000000)))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 -2715848032326100368047161/705600000000000000000000000 z (fma.f64 -76044331624539137747479981/118540800000000000000000000000 (*.f64 z z) 904816194325545171523082059/4200000000000000000000000)))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3))) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 (+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3)))) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 31175378496294352533611/6250000000000000000000 (pow.f64 z 3)))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (+.f64 646366562873259793/3000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z)))
(+.f64 646366562873259793/3000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 646366562873259793/3000000000000000 (+.f64 (.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (.f64 31175378496294352533611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))))))
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(+.f64 (.f64 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 27281403495794582477533611/6250000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) (pow.f64 z 3)))) (+.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 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 27281403495794582477533611/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 14568935239021264214637421/25000000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) z)) (fma.f64 11516183879996384915397167/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (.f64 z z))) (/.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)) (/.f64 (PI.f64) z)) (sin.f64 (.f64 z (PI.f64)))) (fma.f64 27281403495794582477533611/6250000000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (/.f64 (PI.f64) (pow.f64 z 3))) (fma.f64 6493665628732592227/30000000000000000 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64)) (.f64 11516183879996384915397167/6250000000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (/.f64 (PI.f64) (*.f64 z z))))))))
(+.f64 (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000)) (.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 z -15/2)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (/.f64 11516183879996384915397167/6250000000000000000000 (*.f64 z z)) (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))))
(+.f64 (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) (+.f64 6493665628732592227/30000000000000000 (/.f64 27281403495794582477533611/6250000000000000000000 (pow.f64 z 3)))) (.f64 (/.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) z) (+.f64 14568935239021264214637421/25000000000000000000000 (/.f64 11516183879996384915397167/6250000000000000000000 z))))

localize180.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(+.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)))))
	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))

Compiler

Compiled 488 to 354 computations (27.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

(+.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)))))

1.0ms

(+.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)))))

1.0ms

-inf

(+.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)))))

rewrite70.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

409×	`add-sqr-sqrt_binary64`
393×	`add-exp-log_binary64`
393×	`add-log-exp_binary64`
393×	`log1p-expm1-u_binary64`
393×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	797	52

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs

(+.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)))))

Outputs

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(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (exp.f64 (+.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 log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.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 cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 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(log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (+.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 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-883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 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 fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

664×	`associate-r_binary64`
651×	`fma-neg_binary64`
492×	`times-frac_binary64`
403×	`fma-def_binary64`
339×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	195
1	117	181
2	311	178
3	916	171
4	2759	171

Stop Event

1×	node limit

Counts

37 → 39

Calls

Call 1

Inputs
904816194325545171523082059/4200000000000000000000000
(+.f64 904816194325545171523082059/4200000000000000000000000 (*.f64 17677775146260978562117317613/235200000000000000000000000 z))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))

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 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z))))
(fma.f64 z (*.f64 z 3071077024184708161128044520019/118540800000000000000000000000) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000))
(fma.f64 z (fma.f64 z 3071077024184708161128044520019/118540800000000000000000000000 17677775146260978562117317613/235200000000000000000000000) 904816194325545171523082059/4200000000000000000000000)
(+.f64 904816194325545171523082059/4200000000000000000000000 (+.f64 (.f64 17677775146260978562117317613/235200000000000000000000000 z) (+.f64 (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)) (*.f64 3071077024184708161128044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3) (.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (fma.f64 3071077024184708161128044520019/118540800000000000000000000000 (.f64 z z) (.f64 58765508066033148908734538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
(+.f64 904816194325545171523082059/4200000000000000000000000 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z (.f64 (.f64 z z) (+.f64 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000) 3071077024184708161128044520019/118540800000000000000000000000))))
(fma.f64 (*.f64 z z) (fma.f64 z 58765508066033148908734538123333/6638284800000000000000000000000 3071077024184708161128044520019/118540800000000000000000000000) (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (-.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (+.f64 (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(/.f64 -15176929548346663410362579/25000000000000000000000 z)
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 15176929548346663410362579/25000000000000000000000 z)))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z))
(-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (.f64 10432597066258314615852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69099129785032901121487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 27648536961327461428716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 15176929548346663410362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 15176929548346663410362579/25000000000000000000000 z) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)))
(+.f64 (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z))) (-.f64 (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 (*.f64 z z)) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (+.f64 (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4)) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))))

localize269.0ms (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 (+.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 (.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))
	5.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 709 to 612 computations (13.7% saved)

series12.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	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 (+.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))))
3.0ms	z	@	0	(.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 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))))
2.0ms	z	@	-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 (+.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))))
2.0ms	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))))
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))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

624×	`add-log-exp_binary64`
623×	`add-cbrt-cube_binary64`
623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	169
1	1301	169

Stop Event

1×	node limit

Counts

2 → 14

Calls

Call 1

Inputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (*.f64 z 904338909853211/2500000000000) (/.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 (+.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 z 904338909853211/2500000000000) (/.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 (*.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 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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 (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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)))))))))))

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

785×	`distribute-rgt-in_binary64`
782×	`distribute-lft-in_binary64`
454×	`associate-+l+_binary64`
353×	`times-frac_binary64`
230×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	1845
1	570	1708
2	2373	1546

Stop Event

1×	node limit

Counts

38 → 45

Calls

Call 1

Inputs
(.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)))))
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Outputs
(.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))))
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(.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (exp.f64 (-.f64 z 15/2)) (*.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 904338909853211/2500000000000))
(+.f64 (.f64 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (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 904338909853211/2500000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) 479507597606835099/10000000000000000))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 z (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2)))) (.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 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 479507597606835099/10000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (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 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (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 904338909853211/2500000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) (fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) 479507597606835099/10000000000000000)))
(fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (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 904338909853211/2500000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 z (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2)))) (.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (.f64 -15176929548346663410362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (exp.f64 (-.f64 z 15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 2) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 479507597606835099/10000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (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 904338909853211/2500000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))))) (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 904338909853211/2500000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) z))) (fma.f64 -15176929548346663410362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) 479507597606835099/10000000000000000))))
(+.f64 (.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 -10432597066258314615852833/6250000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (.f64 z z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 -15/2 z)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 -15176929548346663410362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 904338909853211/2500000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (/.f64 z (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2)))))))
(fma.f64 -10432597066258314615852833/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (.f64 z z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (/.f64 (.f64 -15176929548346663410362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (exp.f64 (-.f64 z 15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (sqrt.f64 2) (+.f64 (.f64 904338909853211/2500000000000 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 479507597606835099/10000000000000000 (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))

localize314.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))
✓	1.0b	(sqrt.f64 (PI.f64))
	2.7b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
	5.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 900 to 785 computations (12.8% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite85.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`add-log-exp_binary64`
706×	`add-cbrt-cube_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	147
1	1471	147

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

(sqrt.f64 (PI.f64))

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))) (#(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 log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) (#(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 +.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.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 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 (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (+.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 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 (*.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 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simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-def_binary64`
595×	`times-frac_binary64`
563×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`
291×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1217
1	449	1142
2	1879	1037

Stop Event

1×	node limit

Counts

30 → 38

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 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
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(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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)))))))

Outputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))
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(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (fma.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 2))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (pow.f64 z 2)) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) z) (sqrt.f64 (PI.f64)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (pow.f64 z 3)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z))))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (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)) (fma.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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))))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (fma.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 2))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (pow.f64 z 3)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z))))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

eval1.5s (1.7%)

Compiler: Compiled 86662 to 69647 computations (19.6% saved)

prune217.0ms (0.3%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	872	22	894
Fresh	5	15	20
Picked	1	0	1
Done	4	1	5
Total	882	38	920

Error

0.1b

Counts

920 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2076511864126339/4000000000000 (pow.f64 z 2)) (+.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)))))
	62.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
▶	62.6b	(.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 3464024008321714637421/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	62.5b	(.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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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	2.9b	(.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)))))
	1.6b	(.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 (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))))))
	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 (fma.f64 (cbrt.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (cbrt.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 (/.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 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 (neg.f64 z) 8)))))
	0.6b	(.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))))))
	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 (neg.f64 z) 8)))))

Compiler

Compiled 5495 to 4629 computations (15.8% saved)

localize326.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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	(sqrt.f64 (PI.f64))
✓	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
	5.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 897 to 779 computations (13.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`add-cbrt-cube_binary64`
710×	`add-log-exp_binary64`
708×	`add-exp-log_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	159
1	1533	159

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

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

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

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 9999999999998099/10000000000000000) (/.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 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (*.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 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) 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simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

595×	`times-frac_binary64`
563×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`
420×	`*-commutative_binary64`
314×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1400
1	525	1319
2	2070	1234

Stop Event

1×	node limit

Counts

44 → 54

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))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
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Outputs
469507597606837/10000000000000
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(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
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(fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 z -15/2))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (pow.f64 z 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) 1078390842009938509147167/6250000000000000000000) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))))
(.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 2)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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))))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (PI.f64)) (.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 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 z -15/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) 1078390842009938509147167/6250000000000000000000) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 z (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 z -15/2))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (exp.f64 (+.f64 z -15/2)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (pow.f64 z 3)))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 2))) (.f64 (/.f64 (.f64 (sqrt.f64 2) 1078390842009938509147167/6250000000000000000000) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

localize42.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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)
✓	0.7b	(*.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)

series9.0ms (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))))
2.0ms	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))

rewrite90.0ms (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) 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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))))))

simplify51.0ms (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))))))

localize105.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 3464024008321714637421/25000000000000000000000 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 245 to 171 computations (30.2% 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	@	0	(/.f64 3464024008321714637421/25000000000000000000000 z)
0.0ms	z	@	inf	(/.f64 3464024008321714637421/25000000000000000000000 z)

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

639×	`log-prod_binary64`
341×	`pow2_binary64`
324×	`prod-diff_binary64`
241×	`pow1/3_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	262	23
2	3415	23

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
(/.f64 3464024008321714637421/25000000000000000000000 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 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (exp.f64 (*.f64 3 (+.f64 z -15/2)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 3 (+.f64 z -15/2))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.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 cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (exp.f64 (*.f64 3 (+.f64 z -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (*.f64 3 (+.f64 z -15/2))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (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 3464024008321714637421/25000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3464024008321714637421/25000000000000000000000 (pow.f64 z -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3464024008321714637421/25000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2) (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3464024008321714637421/25000000000000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 z -1) 3464024008321714637421/25000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 25000000000000000000000/3464024008321714637421) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 z 25000000000000000000000/3464024008321714637421) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11999462330229238519606218714666925493531241/625000000000000000000000000000000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3464024008321714637421/25000000000000000000000 z)) 1))))))

simplify48.0ms (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

71 → 68

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)))

localize217.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(+.f64 (/.f64 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 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

Compiler

Compiled 589 to 453 computations (23.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

1.0ms

inf

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

0.0ms

-inf

(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

rewrite77.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
427×	`fma-def_binary64`
322×	`pow2_binary64`
309×	`pow-prod-down_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	256	14
2	3451	12

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

Inputs
(+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))) (/.f64 (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2) (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 1 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000)) (/.f64 1 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (*.f64 (-.f64 1 z) 6765203681218851/10000000000000) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000)) (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 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-5000000000000/3147848041806007))) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 2) (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) 2)) (+.f64 1 (+.f64 z (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000 (neg.f64 (pow.f64 (-.f64 1 z) 2))) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)) (fma.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3) 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 -6765203681218851/10000000000000 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) 45767980848377092942628957760201/100000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000 1) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 1 z))) (pow.f64 (exp.f64 6765203681218851/10000000000000) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 1 z)) (+.f64 1 (expm1.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (*.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 6765203681218851/10000000000000) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) 2) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) 2) (cbrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 z)) (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (*.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 6765203681218851/10000000000000) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (sqrt.f64 (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 1 (+.f64 1 (fma.f64 z z z))) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 z z)) (/.f64 1 (+.f64 1 z)) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 6765203681218851/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2)) (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 6765203681218851/10000000000000 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (-.f64 1 z))))))

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	54
1	11	54
2	13	54

Stop Event

1×

saturated

Counts

72 → 64

Calls

Call 1

Inputs
-469507597606837/6295696083612014
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)

Outputs
-469507597606837/6295696083612014
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(*.f64 -5826188486005177/12591392167224028 z)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)
(-.f64 (*.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014)
(fma.f64 -5826188486005177/12591392167224028 z -469507597606837/6295696083612014)

localize193.0ms (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)

eval1.1s (1.3%)

Compiler: Compiled 64102 to 50580 computations (21.1% saved)

prune229.0ms (0.3%)

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	777	23	800
Fresh	9	23	32
Picked	0	1	1
Done	2	3	5
Total	788	50	838

Error

0.0b

Counts

838 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	34.4b	(pow.f64 (sqrt.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))))) 2)
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -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 (fma.f64 (cbrt.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (cbrt.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 (/.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 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 (neg.f64 z) 8)))))
	3.4b	(pow.f64 (cbrt.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)
▶	49.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
▶	2.9b	(.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)))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2076511864126339/4000000000000 (pow.f64 z 2)) (+.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)))))
	62.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
	1.7b	(.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 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))))))
	3.1b	(/.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)
	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 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.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))))))
✓	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))))))
	1.9b	(.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))))))
	0.8b	(.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 1 (-.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))))))
	3.5b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
	50.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
	39.1b	(.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)))) 646366562873259793/3000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	1.7b	(.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 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))))))
	2.6b	(.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))))))
	2.8b	(+.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)))))
	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 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.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))))))
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✓	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))))))
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▶	62.6b	(.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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✓	2.8b	(.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))))
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Compiler

Compiled 5552 to 4709 computations (15.2% saved)

localize314.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 8))))
	1.0b	(sqrt.f64 (PI.f64))
	1.1b	(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
	5.6b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 884 to 760 computations (14% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 8))))

1.0ms

-inf

(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 8))))

1.0ms

inf

(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 8))))

rewrite83.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`add-cbrt-cube_binary64`
718×	`add-log-exp_binary64`
716×	`add-exp-log_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	139
1	1551	139

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 8))))

Outputs

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

simplify57.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

948×	`fma-def_binary64`
595×	`times-frac_binary64`
563×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`
291×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1217
1	449	1142
2	1879	1037

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 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (.f64 (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (sqrt.f64 15/2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z)) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))))
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Outputs
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(.f64 (sqrt.f64 (PI.f64)) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (/.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (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)) (fma.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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))))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (fma.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (sqrt.f64 2))))))
(+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2))))) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.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 -611458333333720910362579/25000000000000000000000 (.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)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.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 9999999999998099/10000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.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)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.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 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 1078390842009938509147167/6250000000000000000000 (sqrt.f64 2)) (.f64 (/.f64 z (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z (exp.f64 (+.f64 -15/2 z))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))) (pow.f64 z 3)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (.f64 (exp.f64 (+.f64 -15/2 z)) (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z))))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

localize42.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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)))))
✓	0.5b	(/.f64 z (exp.f64 -15/2))
✓	0.7b	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 73 to 57 computations (21.9% saved)

series8.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(/.f64 z (exp.f64 -15/2))
1.0ms	z	@	-inf	(/.f64 z (exp.f64 -15/2))
0.0ms	z	@	0	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))))
0.0ms	z	@	inf	(/.f64 z (exp.f64 -15/2))
0.0ms	z	@	0	(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2)))

rewrite95.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`log-prod_binary64`
343×	`expm1-udef_binary64`
343×	`log1p-udef_binary64`
280×	`log-pow_binary64`
212×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	404	45
2	5178	45

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs

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

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

(*.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 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 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -5/2)) (pow.f64 (*.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -5/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -5/2)) 2) (*.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/4)) (*.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (*.f64 (neg.f64 z) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (neg.f64 z)) (neg.f64 (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 1) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -5)) (exp.f64 -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/4)) (exp.f64 -15/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -5/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (/.f64 (*.f64 z z) (exp.f64 -15))))))) (#(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 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 1))))))

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

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

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
595×	`associate-r_binary64`
560×	`distribute-rgt-out_binary64`
481×	`times-frac_binary64`
447×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	696
1	236	669
2	798	619
3	4958	588

Stop Event

1×	node limit

Counts

115 → 102

Calls

Call 1

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

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (.f64 z z))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	30.5b	(sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))

Compiler

Compiled 94 to 65 computations (30.9% saved)

series8.0ms (0%)

Counts

3 → 36

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 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z))))))
1.0ms	z	@	0	(sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z z)))
0.0ms	z	@	0	(.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (.f64 z z))))

rewrite86.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

369×	`expm1-udef_binary64`
369×	`log1p-udef_binary64`
310×	`log-pow_binary64`
249×	`fma-def_binary64`
214×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	438	51
2	5507	45

Stop Event

1×	node limit

Counts

3 → 62

Calls

Call 1

Inputs

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

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

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

Outputs

((#(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 (/.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) (cbrt.f64 (pow.f64 z -2))) (cbrt.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (sqrt.f64 (pow.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (pow.f64 (pow.f64 z -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -15/2) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 -30) (pow.f64 z 4)))) (sqrt.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (exp.f64 -15/2) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -30) (pow.f64 z 4))) 1/2) (pow.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (pow.f64 z -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 z (/.f64 (exp.f64 -15) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (exp.f64 -15))) (sqrt.f64 (*.f64 z (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (exp.f64 -15) z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 1/2)))) (#(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 (cbrt.f64 (/.f64 (exp.f64 -15/2) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (exp.f64 -15/2) 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 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 (neg.f64 (fma.f64 2 (log.f64 z) 15)) 1/2))))) (#(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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 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 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) 1106209385320415913103082059/4200000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 z))) 1))))))

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

simplify55.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-l_binary64`
385×	`associate-r_binary64`
357×	`associate-/l*_binary64`
317×	`associate-+l+_binary64`
311×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	896
1	228	777
2	715	729
3	3719	706

Stop Event

1×	node limit

Counts

98 → 82

Calls

Call 1

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

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

localize85.0ms (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)))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 213 to 126 computations (40.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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)))
1.0ms	z	@	inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms	z	@	inf	(*.f64 (PI.f64) z)
0.0ms	z	@	0	(*.f64 (PI.f64) z)

rewrite48.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	123	16
2	1610	16

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

506×	`cancel-sign-sub-inv_binary64`
373×	`distribute-rgt-in_binary64`
362×	`distribute-lft-in_binary64`
343×	`distribute-rgt-neg-in_binary64`
338×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	266
1	120	263
2	415	249
3	2342	241
4	7354	241

Stop Event

1×	node limit

Counts

68 → 53

Calls

Call 1

Inputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (.f64 -1 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 6)) (.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (pow.f64 (PI.f64) 4)) (.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 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))

Outputs
(/.f64 1 z)
(+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(fma.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2)) (/.f64 1 z))
(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 (pow.f64 (PI.f64) 4) (*.f64 -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)))
(+.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 (pow.f64 (PI.f64) 4) (.f64 -7/360 (pow.f64 z 3))))) (.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))))
(-.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 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) (.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))

localize38.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 54 computations (30.8% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

2.0ms

inf

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

1.0ms

-inf

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

rewrite87.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`log-prod_binary64`
324×	`expm1-udef_binary64`
324×	`log1p-udef_binary64`
269×	`log-pow_binary64`
243×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	43
1	390	36
2	4667	36

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (sqrt.f64 15/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/4) (pow.f64 15/2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (*.f64 15/2 (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log1p.f64 13/2) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log1p.f64 13/2) -15/2) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.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 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.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))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))) (/.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) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) 1) (sin.f64 (*.f64 (PI.f64) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (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) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (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)) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))) (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))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) (/.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))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15)))))) 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 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/8820000000000000000000000000000000000000000000000 (*.f64 (PI.f64) (*.f64 15/2 (exp.f64 -15))))))) 1))))))

simplify70.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

851×	`associate-r_binary64`
737×	`distribute-lft-in_binary64`
733×	`distribute-rgt-in_binary64`
360×	`distribute-rgt-out_binary64`
327×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	612
1	201	607
2	763	568
3	3599	568
4	7990	568

Stop Event

1×	node limit

Counts

58 → 56

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 1106209385320415913103082059/25200000000000000000000000 (.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 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 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.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 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (pow.f64 z 5) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 1/120 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (.f64 -1/36 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/720 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (.f64 -1/5040 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 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))) (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))))
(.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))))
(.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))))
(.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))))
(.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))))
(.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))))
(.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))))

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

eval617.0ms (0.7%)

Compiler: Compiled 34685 to 27312 computations (21.3% saved)

prune148.0ms (0.2%)

Pruning

52 alts after pruning (46 fresh and 6 done)

	Pruned	Kept	Total
New	612	16	628
Fresh	11	30	41
Picked	1	0	1
Done	2	6	8
Total	626	52	678

Error

0.0b

Counts

678 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	3.5b	(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
	2.3b	(.f64 (/.f64 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -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 (fma.f64 (cbrt.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (cbrt.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))))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
✓	2.9b	(.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)))))
	2.8b	(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
	2.3b	(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
	1.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 2076511864126339/4000000000000 (pow.f64 z 2)) (+.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)))))
	62.8b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
	1.7b	(.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 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))))))
	3.1b	(/.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)
	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 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.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))))))
✓	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))))))
	2.9b	(+.f64 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
	1.9b	(.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))))))
	0.8b	(.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 1 (-.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))))))
	50.2b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
	39.1b	(.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)))) 646366562873259793/3000000000000000) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.9b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
	2.6b	(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
	1.7b	(.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 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))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
	2.8b	(+.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)))))
	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 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.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))))))
	2.8b	(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (.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))))))
	1.7b	(.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 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (+.f64 1 (.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)))))
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	2.6b	(.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) 441081074802767819940949738751/705600000000000000000000000))))
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	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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.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)))))
	62.6b	(.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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
	2.6b	(.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 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))))))
✓	62.6b	(.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 z)) (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
	2.4b	(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
	3.1b	(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
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	1.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (neg.f64 z) 8)))))
✓	2.8b	(.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))))
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	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))))
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Compiler

Compiled 2824 to 2383 computations (15.6% saved)

regimes216.0ms (0.3%)

Counts

88 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
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(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
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(.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))))))
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(pow.f64 (cbrt.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)
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(.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)) (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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 z (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))))))))) (.f64 (.f64 z z) (.f64 (sqrt.f64 2) (fma.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) 54901901787731453525296637639/78400000000000000000000000)) (-.f64 -1/15 (log.f64 15/2)) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000)))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))

Calls

2 calls:

42.0ms

(*.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)))))

40.0ms

Results

Error	Segments	Branch
0.5b	1	`z`
0.5b	1	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))

Compiler

Compiled 4936 to 3913 computations (20.7% saved)

regimes155.0ms (0.2%)

Counts

72 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (exp.f64 (+.f64 z -15/2))))))
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(.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 (*.f64 (-.f64 1 z) (-.f64 1 z)) 1) (+.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 (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 (.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))))))

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:

37.0ms

(*.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)))))

32.0ms

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 3323 to 2589 computations (22.1% saved)

regimes80.0ms (0.1%)

Counts

58 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z 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 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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 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 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 (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 (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 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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 (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 1 (-.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 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.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 (.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (.f64 (-.f64 2 z) 6765203681218851/10000000000000)) (.f64 (-.f64 2 z) (-.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))))))

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 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (*.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

1 calls:

27.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 2026 to 1530 computations (24.5% saved)

regimes74.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
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(.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))))))
(.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z 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 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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 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 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 (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 (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 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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 (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 1 (-.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))))))

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:

26.0ms

Results

Error	Segments	Branch
0.7b	1	`z`

Compiler

Compiled 1866 to 1409 computations (24.5% saved)

regimes70.0ms (0.1%)

Counts

54 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z 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 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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 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 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 (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 (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 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 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))))))

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 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))))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
1.7b	1	`z`

Compiler

Compiled 1716 to 1295 computations (24.5% saved)

regimes67.0ms (0.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z 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 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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 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 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (+.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 -66801875443113257/40000000000000 (.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 (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))))))

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 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))))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
1.7b	1	`z`

Compiler

Compiled 1572 to 1189 computations (24.4% saved)

regimes55.0ms (0.1%)

Counts

47 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (/.f64 z (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))
(.f64 (sqrt.f64 (.f64 (exp.f64 -15) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 z (sqrt.f64 2)))))
(.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 1 z) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (exp.f64 -15/2))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (exp.f64 -15)) (/.f64 -1106209385320415913103082059/4200000000000000000000000 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 (.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))))
(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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (.f64 z z) (exp.f64 -15))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (/.f64 (exp.f64 -15) (*.f64 z 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 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 z))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))))
(pow.f64 (sqrt.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))))) 2)
(pow.f64 (cbrt.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)
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3))))
(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)))
(.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 255237898068937946539631952839/705600000000000000000000000 (exp.f64 -15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) 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 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 6493665628732592227/30000000000000000 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (+.f64 (/.f64 14568935239021264214637421/25000000000000000000000 z) 6493665628732592227/30000000000000000))))
(.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)))) 646366562873259793/3000000000000000) (.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)))) 904816194325545171523082059/4200000000000000000000000) (.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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (/.f64 -15176929548346663410362579/25000000000000000000000 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 3464024008321714637421/25000000000000000000000 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 3683516130645841/2000000000000 (.f64 z z)) (/.f64 5826188486005177/10000000000000 z))) (-.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (.f64 z 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 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 469507597606837/10000000000000 (.f64 904338909853211/2500000000000 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 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -121443148578839881/200000000000000 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
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
2.3b	1	`z`

Compiler

Compiled 1242 to 949 computations (23.6% saved)

regimes19.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) z)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1106209385320415913103082059/4200000000000000000000000) (.f64 z (exp.f64 15/2)))
(.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 (.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)
(.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)) z)))
(.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 (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 0 (.f64 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(+.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) 441081074802767819940949738751/705600000000000000000000000))))

Outputs

(*.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) 441081074802767819940949738751/705600000000000000000000000))))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
2.6b	1	`z`

Compiler

Compiled 319 to 255 computations (20.1% saved)

regimes20.0ms (0%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
2.8b	1	`z`

Compiler

Compiled 298 to 238 computations (20.1% saved)

regimes6.0ms (0%)

Accuracy

Total -0.6b remaining (-20.9%)

Threshold costs -0.6b (-20.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
2.9b	1	`z`

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify189.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

400×	`distribute-rgt-neg-in_binary64`
294×	`neg-sub0_binary64`
294×	`neg-mul-1_binary64`
290×	`distribute-lft-neg-out_binary64`
274×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	893
1	277	893
2	305	891
3	318	891
4	330	891
5	342	891
6	386	891
7	440	891
8	505	891
9	563	891
10	614	891
11	646	891
12	711	891
13	841	891
14	1054	891
15	1342	891
16	1701	891
17	2084	891
18	2481	891
19	2827	891
20	3102	891
21	3287	891
22	3426	891
23	3464	891
24	3534	891
25	3535	891
26	3603	891

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.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 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))))) (/.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 (neg.f64 z) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (neg.f64 z) 8)))))
(.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 (.f64 -5826188486005177/12591392167224028 z) 469507597606837/6295696083612014) (.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))))))
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Outputs
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(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.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 9999999999998099/10000000000000000 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))))
(.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (sqrt.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) 441081074802767819940949738751/705600000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 z (exp.f64 15/2)) 4200000000000000000000000/1106209385320415913103082059))
(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) 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)) z)))
(/.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (PI.f64) 2))) (.f64 z (exp.f64 15/2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 1106209385320415913103082059/4200000000000000000000000)) (.f64 z (exp.f64 15/2)))

Compiler

Compiled 583 to 485 computations (16.8% saved)

soundness115.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

595×	`times-frac_binary64`
595×	`times-frac_binary64`
563×	`distribute-rgt-in_binary64`
563×	`distribute-rgt-in_binary64`
562×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	1394
1	512	1313
2	2047	1228
0	165	1394
1	512	1313
2	2047	1228

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 14 to 10 computations (28.6% saved)

end240.0ms (0.3%)

Compiler: Compiled 573 to 449 computations (21.6% saved)