Details

analyze1.0s (1.3%)

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 (89.2%)

Results

1.1min	4006×	body	8192	exit
5.5s	8256×	body	256	valid
122.0ms	195×	body	256	invalid

preprocess39.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

488×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
343×	`associate-+l+_binary64`
293×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	637	119
3	4406	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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))

Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify27.0ms (0%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/r*_binary64`
345×	`associate-/l*_binary64`
343×	`associate-+l+_binary64`
293×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	156
1	160	147
2	637	119
3	4406	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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))

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

0.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
▶	1.7b	(.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

▶

0.4b

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))

▶

1.7b

(*.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)

localize294.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))
	0.0b	(+.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)))
	0.0b	(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
✓	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	2.8b	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓	3.0b	(-.f64 (-.f64 1 z) 1)

Compiler

Compiled 894 to 784 computations (12.3% saved)

series8.0ms (0%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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))))
2.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms	z	@	0	(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
1.0ms	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)))

rewrite51.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	83
1	685	64

Stop Event

1×	node limit

Counts

4 → 111

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (neg.f64 z) 2)) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (.f64 (-.f64 1 z) 1))) (-.f64 (pow.f64 (-.f64 1 z) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (neg.f64 z) 2) (-.f64 (pow.f64 (-.f64 1 z) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (.f64 (-.f64 1 z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (.f64 (-.f64 1 z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (neg.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 z 1) 3)) (+.f64 1 (+.f64 (.f64 (+.f64 z 1) (+.f64 z 1)) (+.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (.f64 (-.f64 1 z) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 z)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 z)))))))
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simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary64`
542×	`associate-l_binary64`
509×	`distribute-rgt-neg-out_binary64`
494×	`associate-r_binary64`
333×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	811
1	330	742
2	1124	687
3	6330	682

Stop Event

1×	node limit

Counts

147 → 137

Calls

Call 1

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

Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(fma.f64 z 904338909853211/2500000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) 479507597606835099/10000000000000000))
(+.f64 (.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
(fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 (fma.f64 2076511864126339/4000000000000 (*.f64 z z) 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 2) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))
(.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (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)))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))) (.f64 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (.f64 (*.f64 z z) (sqrt.f64 2)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (-.f64 13/30 (log.f64 15/2)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (.f64 29/225 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (.f64 1/6 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (.f64 1/6 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(fma.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)) (fma.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/2 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (.f64 (.f64 1/6 (exp.f64 -15/2)) (sqrt.f64 15/2))))))) (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (.f64 z (.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 2) (.f64 (.f64 z z) (fma.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))))))))
(fma.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (.f64 (.f64 z z) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))) (.f64 (+.f64 (fma.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (*.f64 (pow.f64 z 3) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125))) 1/6))) (.f64 (pow.f64 z 3) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (+.f64 (.f64 (.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))) (.f64 (sqrt.f64 15/2) 1/2)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) (+.f64 (.f64 (log.f64 15/2) -29/225) -1/10125))) 1/6))) (.f64 (pow.f64 z 3) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (.f64 (.f64 (.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (-.f64 13/30 (log.f64 15/2))))))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2)))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (-.f64 z 15/2)))))

localize204.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 6765203681218851/10000000000000 (-.f64 1 z))
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 504 to 394 computations (21.8% saved)

series10.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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)))))))))
2.0ms	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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)))))))))
2.0ms	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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	z	@	0	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
1.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

rewrite59.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`add-cbrt-cube_binary64`
631×	`add-log-exp_binary64`
630×	`add-exp-log_binary64`
630×	`log1p-expm1-u_binary64`
630×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	117
1	1295	117

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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)))))))))

Inputs

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

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 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z))))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 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simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-def_binary64`
473×	`cancel-sign-sub-inv_binary64`
464×	`fma-neg_binary64`
356×	`unsub-neg_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1048
1	477	994
2	1596	817
3	6666	817

Stop Event

1×	node limit

Counts

65 → 77

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
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(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) z))))
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Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
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(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
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(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (.f64 z z) (.f64 7713234287776531/810000000000000 (pow.f64 z 3))))
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12777243138120953/60000000000000
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(*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))
(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
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eval1.0s (1.3%)

Compiler: Compiled 62907 to 52405 computations (16.7% saved)

prune97.0ms (0.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	522	15	537
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	523	16	539

Error

0.0b

Counts

539 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.6b	(.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)))))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
▶	1.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 12777243138120953/60000000000000) (+.f64 (/.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))))))))))
	0.7b	(.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	1.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 4 z)) (.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
▶	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.2b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	62.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))

Compiler

Compiled 2127 to 1785 computations (16.1% saved)

localize226.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

Compiler

Compiled 531 to 419 computations (21.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	inf	(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	-inf	(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
0.0ms	z	@	-inf	(+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms	z	@	inf	(+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

rewrite67.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
386×	`fma-def_binary64`
359×	`pow2_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	289	23
2	3961	23

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs

(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

(+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.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 *.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 3 z) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 7713234287776531/10000000000000 (neg.f64 (neg.f64 (-.f64 3 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -7713234287776531/10000000000000 (neg.f64 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 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(-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -7713234287776531/10000000000000 (/.f64 1 (neg.f64 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 883075145810703/5000000000000 (/.f64 1 (neg.f64 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 3 z)) 7713234287776531/10000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 4 z)) -883075145810703/5000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) (neg.f64 (-.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)) (neg.f64 (-.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 27 (pow.f64 z 3))) (fma.f64 z (+.f64 3 z) 9) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 9 (*.f64 z z))) (+.f64 3 z) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 64 (pow.f64 z 3))) (fma.f64 z (+.f64 z 4) 16) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 16 (*.f64 z z))) (+.f64 z 4) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))))

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

455×	`distribute-neg-frac_binary64`
451×	`associate-/l*_binary64`
381×	`sub-neg_binary64`
344×	`fma-neg_binary64`
330×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	388
1	204	360
2	572	354
3	1835	354
4	4751	354
5	7726	354

Stop Event

1×	node limit

Counts

145 → 149

Calls

Call 1

Inputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))

Outputs
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (.f64 7713234287776531/270000000000000 (.f64 z z)))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 7713234287776531/270000000000000 (*.f64 z z) 7713234287776531/30000000000000))
(fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/90000000000000 z 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 7713234287776531/810000000000000 (pow.f64 z 3))))
(+.f64 (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) (.f64 z (.f64 z 7713234287776531/270000000000000))) (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000))
(fma.f64 7713234287776531/90000000000000 z (fma.f64 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 7713234287776531/810000000000000 (pow.f64 z 3) 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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
(/.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.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 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (.f64 z z) (.f64 z 53758197989915921/720000000000000)))
(+.f64 12777243138120953/60000000000000 (fma.f64 (.f64 z z) 222980468271960011/8640000000000000 (.f64 z 53758197989915921/720000000000000)))
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (.f64 z z) (.f64 z 53758197989915921/720000000000000))))
(+.f64 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 (.f64 z z) 222980468271960011/8640000000000000 (.f64 z 53758197989915921/720000000000000))))
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 (/.f64 16075101696843969/10000000000000 z) z))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 -47576671969241/80000000000 z) (+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (+.f64 (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 (/.f64 -16075101696843969/10000000000000 z) z) (-.f64 (/.f64 -47576671969241/80000000000 z) (-.f64 (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))))

localize37.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (exp.f64 -15/2) z)
	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (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 71 to 55 computations (22.5% saved)

series10.0ms (0%)

Counts

3 → 12

Calls

9 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`log-prod_binary64`
340×	`expm1-udef_binary64`
340×	`log1p-udef_binary64`
279×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	397	45
2	4978	45

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

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

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

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

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

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-l_binary64`
567×	`associate-r_binary64`
525×	`distribute-rgt-out_binary64`
486×	`associate-/l*_binary64`
477×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	588
1	223	561
2	748	522
3	4679	482

Stop Event

1×	node limit

Counts

97 → 96

Calls

Call 1

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

localize47.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64))
	0.0b	(sin.f64 (*.f64 z (PI.f64)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(*.f64 z (PI.f64))
✓	0.3b	(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
✓	0.4b	(/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 109 to 69 computations (36.7% saved)

series6.0ms (0%)

Counts

3 → 16

Calls

9 calls:

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

rewrite63.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
335×	`pow2_binary64`
276×	`prod-diff_binary64`
237×	`pow1/3_binary64`
235×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	259	46
2	3406	46

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))

(*.f64 z (PI.f64))

Outputs

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simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

477×	`times-frac_binary64`
409×	`fma-neg_binary64`
344×	`distribute-rgt-neg-in_binary64`
313×	`associate-/l/_binary64`
297×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	48	435
1	136	391
2	365	374
3	1558	372
4	5023	364

Stop Event

1×	node limit

Counts

115 → 117

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 (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))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)) (.f64 9999999999998099/10000000000000000 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z))))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 z 2) (-.f64 (.f64 1/6 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
(.f64 9999999999998099/10000000000000000 (/.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)))
(fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/6))) (+.f64 (exp.f64 -15/2) (/.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 z (.f64 (exp.f64 -15/2) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/6) 1/6))) (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 z (.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (.f64 (exp.f64 -15/2) 1/6))) (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 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)) (.f64 z (+.f64 (.f64 (.f64 (exp.f64 -15/2) 1/6) (+.f64 (.f64 z (fma.f64 (PI.f64) (PI.f64) 1)) (pow.f64 (PI.f64) 2))) (*.f64 (exp.f64 -15/2) 1/2))))
(/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (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 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (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 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (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 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) 9999999999998099/10000000000000000)
(*.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)))
(*.f64 9999999999998099/10000000000000000 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z)) 9999999999998099/10000000000000000)
(*.f64 (exp.f64 -15/2) (+.f64 9999999999998099/10000000000000000 (/.f64 9999999999998099/10000000000000000 z)))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)) (.f64 9999999999998099/10000000000000000 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z))))
(fma.f64 9999999999998099/10000000000000000 (exp.f64 -15/2) (.f64 9999999999998099/10000000000000000 (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 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (fma.f64 z (.f64 (exp.f64 -15/2) (+.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/6))) (+.f64 (exp.f64 -15/2) (/.f64 (exp.f64 -15/2) z))))
(fma.f64 (exp.f64 -15/2) (+.f64 (/.f64 9999999999998099/10000000000000000 z) 9999999999998099/10000000000000000) (.f64 -9999999999998099/10000000000000000 (.f64 z (*.f64 (exp.f64 -15/2) (fma.f64 -1/6 (pow.f64 (PI.f64) 2) -1/2)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (-.f64 (.f64 1/2 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))) z)) (.f64 9999999999998099/10000000000000000 (.f64 (pow.f64 z 2) (-.f64 (.f64 1/6 (exp.f64 -15/2)) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2)))))))))
(fma.f64 9999999999998099/10000000000000000 (exp.f64 -15/2) (fma.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 9999999999998099/10000000000000000 (+.f64 (.f64 z (-.f64 (.f64 (exp.f64 -15/2) 1/2) (.f64 -1/6 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (.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 (exp.f64 -15/2) 9999999999998099/10000000000000000 (.f64 9999999999998099/10000000000000000 (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)))))
(fma.f64 9999999999998099/10000000000000000 (+.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 z (.f64 z (.f64 9999999999998099/60000000000000000 (.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (exp.f64 -15/2))))))
(.f64 9999999999998099/10000000000000000 (+.f64 (exp.f64 -15/2) (fma.f64 z (.f64 z (.f64 (+.f64 (pow.f64 (PI.f64) 2) 1) (.f64 (exp.f64 -15/2) 1/6))) (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)))))
(fma.f64 9999999999998099/10000000000000000 (.f64 z (+.f64 (.f64 (.f64 (exp.f64 -15/2) 1/6) (+.f64 (.f64 z (fma.f64 (PI.f64) (PI.f64) 1)) (pow.f64 (PI.f64) 2))) (.f64 (exp.f64 -15/2) 1/2))) (.f64 (exp.f64 -15/2) (+.f64 9999999999998099/10000000000000000 (/.f64 9999999999998099/10000000000000000 z))))
(.f64 9999999999998099/10000000000000000 (/.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 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) 9999999999998099/10000000000000000)
(.f64 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) 9999999999998099/10000000000000000)
(.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) 9999999999998099/10000000000000000)
(.f64 (PI.f64) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.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 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) 9999999999998099/10000000000000000)
(.f64 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) 9999999999998099/10000000000000000)
(.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) 9999999999998099/10000000000000000)
(.f64 (PI.f64) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.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 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) 9999999999998099/10000000000000000)
(.f64 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) 9999999999998099/10000000000000000)
(.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) 9999999999998099/10000000000000000)
(.f64 (PI.f64) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))))
(.f64 9999999999998099/10000000000000000 (/.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 (fma.f64 -1 z 15/2))) (/.f64 (sin.f64 (.f64 z (PI.f64))) (PI.f64))) 9999999999998099/10000000000000000)
(.f64 (.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64)))) (PI.f64)) 9999999999998099/10000000000000000)
(.f64 (.f64 (PI.f64) (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))) 9999999999998099/10000000000000000)
(.f64 (PI.f64) (.f64 9999999999998099/10000000000000000 (/.f64 (exp.f64 (+.f64 -15/2 z)) (sin.f64 (*.f64 z (PI.f64))))))

localize176.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 6765203681218851/10000000000000 (-.f64 1 z))
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
✓	0.3b	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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)))))))))
✓	0.4b	(*.f64 53758197989915921/720000000000000 z)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 447 to 347 computations (22.4% saved)

series8.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
1.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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	z	@	-inf	(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite54.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`add-cbrt-cube_binary64`
565×	`add-log-exp_binary64`
564×	`add-exp-log_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	100
1	1160	100

Stop Event

1×	node limit

Counts

3 → 23

Calls

Call 1

Inputs

(*.f64 53758197989915921/720000000000000 z)

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 53758197989915921/720000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 53758197989915921/720000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 53758197989915921/720000000000000 z) (*.f64 53758197989915921/720000000000000 z)) (*.f64 53758197989915921/720000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 53758197989915921/720000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 53758197989915921/720000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 53758197989915921/720000000000000 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))))

simplify56.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-neg_binary64`
552×	`associate-r_binary64`
514×	`associate-l_binary64`
513×	`fma-def_binary64`
247×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	856
1	387	829
2	1382	718
3	6473	718

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 z (-.f64 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 97533768875635827952632820648919031808/163142487244800000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2))))) (.f64 -1/6 (.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))) (pow.f64 (PI.f64) 2)))) (pow.f64 z 2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 z (-.f64 (+.f64 (.f64 61549629395250298343008044520019/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (.f64 -1106209385320415913103082059/25200000000000000000000000 (.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))
(.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))
(+.f64 (.f64 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) z)))))
(+.f64 (.f64 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64))))) (+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (.f64 11125329402537419134147167/6250000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2)))))))
(.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (.f64 z (PI.f64)))))))
(+.f64 (.f64 14256251657054091589637421/25000000000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (.f64 (sin.f64 (.f64 z (PI.f64))) z))) (+.f64 (.f64 11125329402537419134147167/6250000000000000000000 (/.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 6418621569060470797/30000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 53758197989915921/720000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (.f64 z (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))))))
(/.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))))

Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))
(+.f64 (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
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(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 (pow.f64 (PI.f64) 2) 1/6) (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 (pow.f64 (PI.f64) 6) 1/840 (.f64 (pow.f64 (PI.f64) 2) (.f64 1/6 (*.f64 (pow.f64 (PI.f64) 4) -7/360))))))
(fma.f64 z (.f64 (pow.f64 (PI.f64) 2) 1/6) (-.f64 (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 (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))))

localize206.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 6765203681218851/10000000000000 (-.f64 1 z))
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓	1.0b	(sqrt.f64 (PI.f64))

Compiler

Compiled 508 to 395 computations (22.2% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite71.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`expm1-udef_binary64`
379×	`log1p-udef_binary64`
262×	`associate-r_binary64`
250×	`pow1_binary64`
242×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	59	4
2	667	4
3	6938	4

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 1/6)) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (PI.f64) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (pow.f64 (pow.f64 (PI.f64) 5/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1/6) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (sqrt.f64 (pow.f64 (PI.f64) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 1/8) (*.f64 (pow.f64 (PI.f64) 1/8) (pow.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/8)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/4)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 5/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/4)) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 3/4) 1/2) (pow.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/6) 1/2) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) 1/3) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 5/4) 1/3) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6)) (pow.f64 (sqrt.f64 (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (PI.f64)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) (+.f64 (sqrt.f64 (PI.f64)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (PI.f64)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (PI.f64)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (log.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.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 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

57 → 57

Calls

Call 1

Inputs

Outputs

eval614.0ms (0.8%)

Compiler: Compiled 38557 to 29032 computations (24.7% saved)

prune125.0ms (0.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	640	22	662
Fresh	5	5	10
Picked	0	1	1
Done	2	3	5
Total	647	31	678

Error

Counts

678 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
	2.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
▶	1.5b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
	1.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	1.6b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
	1.1b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
	50.2b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
✓	1.0b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	1.8b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
	2.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
	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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
▶	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
▶	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
	1.9b	(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
	1.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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))))))))))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	32.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
	62.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
▶	1.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))
	2.0b	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
	1.6b	(.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)))))
▶	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	1.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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))))))))))

Compiler

Compiled 2392 to 2021 computations (15.5% saved)

localize199.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 6765203681218851/10000000000000 (-.f64 1 z))
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
✓	0.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
✓	1.0b	(+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 525 to 414 computations (21.1% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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	z	@	-inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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	z	@	inf	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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)))))))))
0.0ms	z	@	0	(+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms	z	@	inf	(+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`add-cbrt-cube_binary64`
644×	`add-log-exp_binary64`
643×	`add-exp-log_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	126
1	1323	126

Stop Event

1×	node limit

Counts

3 → 29

Calls

Call 1

Inputs

(+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

(/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 4 z) (*.f64 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)) -883075145810703/5000000000000)) (*.f64 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)) (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) 3) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)) (+.f64 (*.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (-.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) (cbrt.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))))) (cbrt.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) (sqrt.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531))) (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))) (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (*.f64 z 10000000000000/7713234287776531)))))))))

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simplify62.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-def_binary64`
473×	`cancel-sign-sub-inv_binary64`
464×	`fma-neg_binary64`
356×	`unsub-neg_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1048
1	477	994
2	1596	817
3	6662	817

Stop Event

1×	node limit

Counts

65 → 77

Calls

Call 1

Inputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
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7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))
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(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))) (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (.f64 (sin.f64 (*.f64 z (PI.f64))) z))))
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(.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 z) 15/2))) (PI.f64)) (sin.f64 (.f64 z (PI.f64)))))
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Outputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)
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(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))
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(fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)))
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7713234287776531/30000000000000
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(+.f64 (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (/.f64 1078390842009938509147167/6250000000000000000000 (.f64 z z)))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -398308844029173303716389/6250000000000000000000 (pow.f64 z 3)))))

localize41.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
✓	0.5b	(*.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
✓	0.6b	(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 70 to 54 computations (22.9% saved)

series3.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`log-prod_binary64`
339×	`expm1-udef_binary64`
339×	`log1p-udef_binary64`
278×	`log-pow_binary64`
196×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	398	43
2	4938	43

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(/.f64 1106209385320415913103082059/4200000000000000000000000 z)

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/2) (*.f64 z 4200000000000000000000000/1106209385320415913103082059))))) (#(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 -1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) -1106209385320415913103082059/4200000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/4) (sqrt.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 -15) (/.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (exp.f64 -15/2))))))))

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

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-l_binary64`
573×	`associate-r_binary64`
525×	`distribute-rgt-out_binary64`
490×	`associate-/l*_binary64`
481×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	696
1	228	669
2	756	630
3	4704	590

Stop Event

1×	node limit

Counts

100 → 89

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

localize41.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (exp.f64 -15/2) (/.f64 1 z))
	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
✓	0.5b	(*.f64 (exp.f64 -15/2) (/.f64 1 z))
✓	0.7b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 81 to 64 computations (21% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log-prod_binary64`
356×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
295×	`log-pow_binary64`
210×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	45
1	433	45
2	5264	45

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 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 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 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)) -1) (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 (pow.f64 z -2) (exp.f64 -15)) 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 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 log1p.f64 (expm1.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))))))) (#(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 +.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) 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 -5) (/.f64 z (exp.f64 -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -15/4) (/.f64 z (exp.f64 -15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -15/2) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -15/2) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -15/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 -15/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 -15/2) -1) (neg.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 (sqrt.f64 (/.f64 (exp.f64 -15/2) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 z -2) (exp.f64 -15)))))) (#(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 cbrt.f64 (*.f64 (exp.f64 -45/2) (/.f64 (pow.f64 z -2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 z -2) z) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 -15/2 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))))))

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

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-l_binary64`
573×	`associate-r_binary64`
525×	`distribute-rgt-out_binary64`
490×	`associate-/l*_binary64`
481×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	768
1	228	741
2	756	702
3	4704	662

Stop Event

1×	node limit

Counts

103 → 80

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

localize38.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (exp.f64 -15/2) z)
	0.3b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
	0.0b	(.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (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 (PI.f64))

Compiler

Compiled 75 to 56 computations (25.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite63.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`log-prod_binary64`
354×	`expm1-udef_binary64`
354×	`log1p-udef_binary64`
294×	`log-pow_binary64`
206×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	419	30
2	5234	30

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

581×	`associate-l_binary64`
567×	`associate-r_binary64`
525×	`distribute-rgt-out_binary64`
486×	`associate-/l*_binary64`
477×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	588
1	223	561
2	748	522
3	4679	482

Stop Event

1×	node limit

Counts

36 → 35

Calls

Call 1

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

localize56.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 (sqrt.f64 2) z)
	0.3b	(.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))
	0.3b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))))))
	0.0b	(+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2))))
✓	0.6b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))
✓	1.0b	(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))

Compiler

Compiled 112 to 101 computations (9.8% saved)

series13.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

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

2.0ms

inf

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

1.0ms

-inf

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`fma-def_binary64`
381×	`expm1-udef_binary64`
380×	`log1p-udef_binary64`
224×	`add-sqr-sqrt_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	453	55
2	5878	55

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/15 (sqrt.f64 2)) (*.f64 (log.f64 2/15) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) -1/15) (*.f64 (sqrt.f64 2) (log.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3)) (sqrt.f64 2)) (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/225 (pow.f64 (log.f64 15/2) 2)) (sqrt.f64 2)) (+.f64 -1/15 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 -1/3375 (pow.f64 (log.f64 15/2) 3))) (fma.f64 (log.f64 15/2) (+.f64 -1/15 (log.f64 15/2)) 1/225))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (-.f64 1/225 (pow.f64 (log.f64 15/2) 2))) (+.f64 -1/15 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (pow.f64 (+.f64 -1/15 (log.f64 2/15)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (exp.f64 -1/15) 15/2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) -1/15 (*.f64 (sqrt.f64 2) (log.f64 2/15)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/15 (sqrt.f64 2) (*.f64 (log.f64 2/15) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (+.f64 -1/15 (log.f64 2/15)))))))))

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

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

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
712×	`associate-l_binary64`
711×	`associate-+l+_binary64`
701×	`distribute-lft-in_binary64`
699×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	580
1	79	544
2	230	526
3	1050	454
4	3584	387
5	7355	387

Stop Event

1×	node limit

Counts

65 → 60

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (log.f64 15/2) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (log.f64 15/2) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (log.f64 15/2) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 2)))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (+.f64 (log.f64 15/2) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (log.f64 15/2) 1/15)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (log.f64 15/2) 1/15))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (+.f64 (log.f64 15/2) 1/15) -1106209385320415913103082059/4200000000000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (log.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) -1106209385320415913103082059/63000000000000000000000000)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))
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(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
(+.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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 1/15 (log.f64 15/2))))) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) (.f64 -1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (log.f64 15/2) 1/15)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (.f64 (.f64 -1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (+.f64 (log.f64 15/2) 1/15))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (+.f64 (log.f64 15/2) 1/15) -1106209385320415913103082059/4200000000000000000000000))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sqrt.f64 2) z)) (.f64 (sqrt.f64 2) (+.f64 (.f64 (log.f64 15/2) -1106209385320415913103082059/4200000000000000000000000) -1106209385320415913103082059/63000000000000000000000000)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))

eval386.0ms (0.5%)

Compiler: Compiled 20082 to 16000 computations (20.3% saved)

prune126.0ms (0.2%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	572	13	585
Fresh	9	13	22
Picked	1	0	1
Done	2	6	8
Total	584	32	616

Error

Counts

616 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
▶	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.1b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
	1.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
	1.1b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
	1.6b	(.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)))))
	1.8b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
	1.5b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
	1.6b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
✓	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2)))))
	2.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
	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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
✓	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
▶	1.5b	(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
▶	1.5b	(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
✓	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
	1.9b	(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
▶	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
	1.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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))))))))))
	1.5b	(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
	2.0b	(+.f64 0 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
	1.5b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
	62.9b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
	2.6b	(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
▶	1.8b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
	1.7b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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))))))))))

Compiler

Compiled 2251 to 1916 computations (14.9% saved)

localize207.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(/.f64 6765203681218851/10000000000000 (-.f64 1 z))
	0.0b	(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))
	0.0b	(+.f64 (/.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)))))
	0.0b	(/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))
✓	1.0b	(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
	1.0b	(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 572 to 456 computations (20.3% 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 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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))))))

rewrite45.0ms (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 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 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(-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) (pow.f64 (+.f64 (/.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))))) 3)) (fma.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (+.f64 (/.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 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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (*.f64 (+.f64 (/.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 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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (exp.f64 (+.f64 (/.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 log.f64 (*.f64 (exp.f64 (+.f64 (/.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)))))) (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 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egg-rr> (2) ((x fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.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)))))) (sqrt.f64 (+.f64 (/.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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 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3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	195
1	117	181
2	311	178
3	909	171
4	2681	171
5	7970	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 117531016132066297817469076246666/13276569600000000000000000000000 (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 117531016132066297817469076246666/13276569600000000000000000000000 (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 (fma.f64 17677775146260978562117317613/235200000000000000000000000 z 904816194325545171523082059/4200000000000000000000000) (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 3071077024184708161128044520019/118540800000000000000000000000 (*.f64 z 58765508066033148908734538123333/6638284800000000000000000000000)))))
(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 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 z) z) (/.f64 -15176929548346663410362579/25000000000000000000000 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 (/.f64 -10432597066258314615852833/6250000000000000000000 z) z) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 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 z) z) (+.f64 (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))
(/.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 -15176929548346663410362579/25000000000000000000000 z) (/.f64 10432597066258314615852833/6250000000000000000000 (*.f64 z z)))
(+.f64 (/.f64 (/.f64 -10432597066258314615852833/6250000000000000000000 z) z) (/.f64 -15176929548346663410362579/25000000000000000000000 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 (/.f64 -10432597066258314615852833/6250000000000000000000 z) z) (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 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 z) z) (+.f64 (+.f64 (/.f64 -15176929548346663410362579/25000000000000000000000 z) (/.f64 -27648536961327461428716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 -69099129785032901121487187/6250000000000000000000 (pow.f64 z 4))))

localize41.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
	0.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
✓	0.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
✓	0.6b	(/.f64 z (exp.f64 -15/2))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 79 to 61 computations (22.8% saved)

series6.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite80.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`expm1-udef_binary64`
344×	`log1p-udef_binary64`
282×	`log-pow_binary64`
227×	`log-div_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	58
1	403	58
2	5385	58

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
585×	`fma-def_binary64`
462×	`*-commutative_binary64`
408×	`distribute-lft-in_binary64`
408×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1065
1	327	1011
2	1175	931
3	4933	899

Stop Event

1×	node limit

Counts

133 → 131

Calls

Call 1

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

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 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (/.f64 z (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (exp.f64 -15/2))) z))
(/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.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 (sqrt.f64 (PI.f64)) (fma.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))))
(.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 2) (+.f64 (/.f64 (sqrt.f64 15/2) (/.f64 z (exp.f64 -15/2))) (.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (-.f64 -1/15 (log.f64 15/2))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (.f64 (sqrt.f64 15/2) z)))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (.f64 (sqrt.f64 15/2) z)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) (.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (.f64 (sqrt.f64 15/2) (.f64 z (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))) (sqrt.f64 (PI.f64))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (.f64 (sqrt.f64 2) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)))))))
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(fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (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)))) (pow.f64 z 3)))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (PI.f64)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (.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 (sqrt.f64 15/2) (.f64 z z))) (sqrt.f64 (PI.f64)))) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))))))
(+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.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 z z)) (sqrt.f64 2))) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (pow.f64 z 3)) (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 1106209385320415913103082059/4200000000000000000000000 (.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (.f64 (.f64 (sqrt.f64 15/2) z) (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (+.f64 (.f64 (sqrt.f64 15/2) (.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (.f64 z z))) (sqrt.f64 15/2))) (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (+.f64 (.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) (.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (.f64 z (.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 2)) (.f64 (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (.f64 z z)) 1) (sqrt.f64 15/2))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (+.f64 (.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)) (pow.f64 z 3)) (.f64 z (-.f64 -1/15 (log.f64 15/2)))))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (sqrt.f64 (PI.f64))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (PI.f64)))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))

localize39.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))
	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
	0.0b	(.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
	0.0b	(pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))
✓	0.3b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
✓	0.5b	(.f64 (exp.f64 -15/2) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z)))
✓	0.6b	(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))

Compiler

Compiled 80 to 63 computations (21.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`log-prod_binary64`
356×	`expm1-udef_binary64`
356×	`log1p-udef_binary64`
295×	`log-pow_binary64`
209×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	432	43
2	5212	43

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 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)) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) 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 (sqrt.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 z -2) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000) (exp.f64 -15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3) (exp.f64 -45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z)))))))

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

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-l_binary64`
566×	`associate-r_binary64`
525×	`distribute-rgt-out_binary64`
490×	`associate-/l*_binary64`
481×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	744
1	229	717
2	757	678
3	4694	638

Stop Event

1×	node limit

Counts

97 → 74

Calls

Call 1

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

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(sqrt.f64 (PI.f64))
	0.6b	(/.f64 z (exp.f64 -15/2))
	0.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2)))
	0.2b	(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
✓	0.4b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2)))
	0.6b	(/.f64 z (exp.f64 -15/2))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))

Compiler

Compiled 58 to 45 computations (22.4% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite61.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`log-prod_binary64`
333×	`pow2_binary64`
267×	`pow-unpow_binary64`
235×	`pow1/3_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	276	28
2	3605	28

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs

(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))

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

Outputs

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

simplify19.0ms (0%)

Algorithm

1×	egg-herbie

Rules

76×	`associate-/l*_binary64`
64×	`associate-l_binary64`
59×	`associate-/r/_binary64`
49×	`associate-r_binary64`
39×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	240
1	22	240
2	52	240
3	148	240
4	297	240
5	397	240
6	433	240
7	440	240

Stop Event

1×

saturated

Counts

95 → 85

Calls

Call 1

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

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

localize47.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)
	0.6b	(/.f64 1106209385320415913103082059/4200000000000000000000000 z)
	0.3b	(.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
	0.0b	(+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))
✓	1.0b	(fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)
✓	1.0b	(.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))
	1.0b	(sqrt.f64 (PI.f64))
✓	1.0b	(.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 81 to 68 computations (16% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite60.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log-prod_binary64`
443×	`pow-prod-down_binary64`
357×	`pow2_binary64`
261×	`pow-unpow_binary64`
254×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	321	34
2	3431	34

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

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

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

(fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 (*.f64 15/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 (*.f64 15/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 (*.f64 15/2 (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 (*.f64 15/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15) (*.f64 15/2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (*.f64 15/2 (PI.f64)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -5/2) (pow.f64 (*.f64 15/2 (PI.f64)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 -15/4) (pow.f64 (*.f64 15/2 (PI.f64)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (exp.f64 -15) (*.f64 15/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 (*.f64 15/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (*.f64 15/2 (PI.f64)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 15/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 15/2 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 15/2 (PI.f64))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1106209385320415913103082059/63000000000000000000000000 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) -1106209385320415913103082059/63000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) 1) -1106209385320415913103082059/63000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)) (cbrt.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 2)) (cbrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)) (sqrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) 3) -1353667544463053517362301055662189939940116838557164185039425992840995977633531379/250047000000000000000000000000000000000000000000000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) 2) (-.f64 1223699204170972405458614049551529263107435644887679481/3969000000000000000000000000000000000000000000000000 (*.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) -1106209385320415913103082059/63000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2)) 2) 1223699204170972405458614049551529263107435644887679481/3969000000000000000000000000000000000000000000000000) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) 1106209385320415913103082059/63000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

61 → 61

Calls

Call 1

Inputs

Outputs

eval448.0ms (0.6%)

Compiler: Compiled 21905 to 17679 computations (19.3% saved)

prune101.0ms (0.1%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	646	11	657
Fresh	10	11	21
Picked	1	0	1
Done	4	6	10
Total	661	28	689

Error

Counts

689 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
	1.8b	(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
✓	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
	1.6b	(/.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
	1.2b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z)))))) (sin.f64 (*.f64 z (PI.f64)))))
	2.4b	(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
	1.1b	(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
	55.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
	2.1b	(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
✓	1.8b	(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
	1.6b	(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
✓	2.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
	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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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)))))
	1.5b	(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
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✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
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	2.2b	(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))
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Compiler

Compiled 1178 to 999 computations (15.2% saved)

regimes118.0ms (0.2%)

Counts

63 → 1

Calls

Call 1

Inputs
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 12777243138120953/60000000000000) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 1 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 7713234287776531/10000000000000 (-.f64 4 z)) (.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))) (+.f64 (/.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))) (.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 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))) (.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)))))
(.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 (.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (neg.f64 z) 2)) (.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 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 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (+.f64 (.f64 z (-.f64 14/15 (log.f64 15/2))) 1) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (.f64 2 (PI.f64))))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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))))))))))

Calls

2 calls:

30.0ms

(*.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)))))

26.0ms

Results

Error	Segments	Branch
0.4b	1	`z`
0.4b	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 2444 to 1957 computations (19.9% saved)

regimes58.0ms (0.1%)

Counts

53 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1 z) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
(+.f64 0 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 12777243138120953/60000000000000) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.6b	1	`z`

Compiler

Compiled 1359 to 1074 computations (21% saved)

regimes56.0ms (0.1%)

Counts

52 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1 z) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2)))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
(+.f64 0 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 12777243138120953/60000000000000) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (*.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
1.0b	1	`z`

Compiler

Compiled 1285 to 1017 computations (20.9% saved)

regimes51.0ms (0.1%)

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1 z) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2)))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
(+.f64 0 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 9999999999998099/10000000000000000 (/.f64 (sin.f64 (.f64 z (PI.f64))) (*.f64 (exp.f64 (+.f64 z -15/2)) (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (exp.f64 (-.f64 z 15/2)) (PI.f64)) (sin.f64 (.f64 z (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 z (PI.f64)))) (exp.f64 (+.f64 z -15/2))) (+.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 904816194325545171523082059/4200000000000000000000000 (.f64 17677775146260978562117317613/235200000000000000000000000 z)))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 12777243138120953/60000000000000) (+.f64 (/.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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.1b	1	`z`

Compiler

Compiled 1149 to 914 computations (20.5% saved)

regimes43.0ms (0.1%)

Counts

44 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1 z) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 (/.f64 z (exp.f64 -15/2)))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 1 z))))
(+.f64 0 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1 (/.f64 z (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (/.f64 1 z))))
(+.f64 0 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 1 z) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (/.f64 (/.f64 z (sqrt.f64 2)) (sqrt.f64 (PI.f64))) (sqrt.f64 15/2)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) z)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))) 1106209385320415913103082059/4200000000000000000000000))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) z) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z))) 3))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 z)) (sqrt.f64 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z) (.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (+.f64 (.f64 1/6 (.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z)) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 12777243138120953/60000000000000 (.f64 53758197989915921/720000000000000 z))) (+.f64 (/.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 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (sqrt.f64 (PI.f64))))) (+.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (log.f64 15/2) -1106209385320415913103082059/63000000000000000000000000)))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (sqrt.f64 2) (-.f64 -1/15 (log.f64 15/2)))))))

Outputs

(/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 (*.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (*.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.5b	1	`z`

Compiler

Compiled 935 to 756 computations (19.1% saved)

regimes17.0ms (0%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 z (exp.f64 15/2))) (sqrt.f64 (.f64 2 (PI.f64)))) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1 z) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (PI.f64))) -1106209385320415913103082059/4200000000000000000000000) (/.f64 1 (*.f64 z (neg.f64 (exp.f64 15/2))))) (sqrt.f64 15/2))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 z 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (exp.f64 -15/2) (.f64 z 4200000000000000000000000/1106209385320415913103082059)))
(/.f64 (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 z 4200000000000000000000000/1106209385320415913103082059))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) 1106209385320415913103082059/4200000000000000000000000)) (exp.f64 -15/2)) z)
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) z))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 9999999999998099/10000000000000000 z)))
(/.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 z (exp.f64 -15/2))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z)))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) z)))

Outputs

(*.f64 (*.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.5b	1	`z`

Compiler

Compiled 296 to 242 computations (18.2% saved)

regimes6.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))

Outputs

(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.7b	1	`z`

Compiler

Compiled 45 to 39 computations (13.3% saved)

regimes5.0ms (0%)

Accuracy

Total -0.4b remaining (-22.4%)

Threshold costs -0.4b (-22.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.8b	1	`z`

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
28×	`*-commutative_binary64`
11×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	476
1	174	476
2	187	476
3	189	476
4	190	476

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))

Outputs
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (/.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 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.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)))))))))) (sin.f64 (.f64 (PI.f64) z))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 53758197989915921/720000000000000 z) 12777243138120953/60000000000000)) (+.f64 (/.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)))))))))) (sin.f64 (*.f64 z (PI.f64)))))
(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (/.f64 (.f64 (PI.f64) (.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (.f64 z 53758197989915921/720000000000000) 12777243138120953/60000000000000))))))) (sin.f64 (*.f64 (PI.f64) z))))
(.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))) (fma.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000 (.f64 (exp.f64 -15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))))
(/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 (.f64 (PI.f64) 2) (pow.f64 (-.f64 15/2 z) (.f64 2 (-.f64 1/2 z)))))) (/.f64 z (exp.f64 -15/2)))
(.f64 (.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2))
(.f64 (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (.f64 2 (PI.f64)))) z)) (sqrt.f64 15/2))
(.f64 (sqrt.f64 15/2) (.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 2) 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000)) z)))
(.f64 (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 15/2))) (sqrt.f64 15/2))
(.f64 (sqrt.f64 15/2) (.f64 (/.f64 1106209385320415913103082059/4200000000000000000000000 z) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 15/2))))

end149.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 615 to 504 computations (18% saved)