Details

analyze2.5s (4.5%)

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
49.9%	25%	25.1%	13
49.9%	25%	25.1%	14

Compiler

Compiled 127 to 112 computations (11.8% saved)

sample50.7s (90.4%)

Results

46.6s	3855×	body	8192	exit
3.9s	8256×	body	128	valid
92.0ms	176×	body	128	invalid

Compiler

Compiled 254 to 224 computations (11.8% saved)

preprocess37.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

343×	`associate-+l+_binary64`
293×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
222×	`associate-r_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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 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)))))))))

Compiler

Compiled 124 to 110 computations (11.3% saved)

simplify24.0ms (0%)

Algorithm

1×	egg-herbie

Rules

343×	`associate-+l+_binary64`
293×	`associate-+r+_binary64`
271×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`
222×	`associate-r_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 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 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)))))))))

prune12.0ms (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

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 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)))))))))
	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

▶

0.5b

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

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 596 to 508 computations (14.8% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series15.0ms (0%)

Counts

4 → 32

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))
3.0ms	z	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))
3.0ms	z	@	-inf	(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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))))))))
2.0ms	z	@	0	(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
1.0ms	z	@	inf	(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))

rewrite45.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
660×	`pow1_binary64`
54×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	143
1	1373	143

Stop Event

1×	node limit

Counts

4 → 41

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.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))))))))

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

simplify54.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

923×	`fma-def_binary64`
475×	`times-frac_binary64`
360×	`distribute-rgt-in_binary64`
123×	`*-commutative_binary64`
91×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	2235
1	675	2112
2	2077	1939

Stop Event

1×	node limit

Counts

73 → 84

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))))
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Outputs
12777243138120953/60000000000000
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(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)
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(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))
(fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(.f64 (sqrt.f64 (PI.f64)) (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))))
(fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)))) (.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))))
(fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 z (.f64 z (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (sqrt.f64 2) (*.f64 z (exp.f64 (-.f64 15/2 z)))))))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))))
(fma.f64 -398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)))) (fma.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)))) (.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))))
(+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (.f64 z (.f64 z (exp.f64 (-.f64 15/2 z)))) (sqrt.f64 2)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 -398308844029173303716389/6250000000000000000000 (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 z 3) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (sqrt.f64 2)) (/.f64 (*.f64 z (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(.f64 (sqrt.f64 (PI.f64)) (+.f64 (fma.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (sqrt.f64 2) (.f64 z (exp.f64 (-.f64 15/2 z))))))) (fma.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (pow.f64 z 3) (exp.f64 (-.f64 15/2 z)))) (.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z)))))

prune188.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Error

0.3b

Counts

86 → 6

Alt Table

Status	Error	Program
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))))) (+.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)))))))))
	1.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.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))))))) (+.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)))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))))
	2.1b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))))
	3.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))

Compiler

Compiled 8643 to 6920 computations (19.9% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.5b	(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)
✓	1.5b	(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)
1.0ms	z	@	0	(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)
1.0ms	z	@	0	(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)
1.0ms	z	@	inf	(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)
1.0ms	z	@	-inf	(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3)

rewrite51.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

231×	`expm1-udef_binary64`
231×	`log1p-udef_binary64`
180×	`log-pow_binary64`
135×	`add-sqr-sqrt_binary64`
132×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	296	20
2	3584	20

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 7713234287776531/10000000000000 (.f64 (/.f64 1 (-.f64 3 z)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -883075145810703/5000000000000 (*.f64 (/.f64 1 (-.f64 4 z)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (neg.f64 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) -883075145810703/5000000000000) (-.f64 4 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) 1) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) 883075145810703/5000000000000) (neg.f64 (-.f64 4 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))))))))

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
543×	`associate-/r*_binary64`
258×	`associate-l_binary64`
202×	`fma-neg_binary64`
165×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	424
1	199	406
2	518	403
3	1608	390

Stop Event

1×	node limit

Counts

96 → 100

Calls

Call 1

Inputs
458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z))
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2))))
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (+.f64 (.f64 458891030965964263706993392018425544321343929291/72900000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2)))))
(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3))
(neg.f64 (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4)))))
(neg.f64 (+.f64 (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 12390057836081035120088821584497489696676286090857/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5))))))
(neg.f64 (+.f64 (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 12390057836081035120088821584497489696676286090857/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 6))) (.f64 12390057836081035120088821584497489696676286090857/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))))
(/.f64 -458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 z 3))
(neg.f64 (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4)))))
(neg.f64 (+.f64 (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 12390057836081035120088821584497489696676286090857/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5))))))
(neg.f64 (+.f64 (.f64 4130019278693678373362940528165829898892095363619/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 12390057836081035120088821584497489696676286090857/100000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 6))) (.f64 12390057836081035120088821584497489696676286090857/500000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))))
-688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000
(-.f64 (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (pow.f64 z 2)) (.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z)) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(-.f64 (+.f64 (.f64 -688641173045047177036613100428008022090298927/51200000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (.f64 -2065923519135141531109839301284024066270896781/64000000000000000000000000000000000000000 (pow.f64 z 2)) (*.f64 -2065923519135141531109839301284024066270896781/32000000000000000000000000000000000000000 z))) 688641173045047177036613100428008022090298927/8000000000000000000000000000000000000000)
(/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
(+.f64 (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5))) (.f64 688641173045047177036613100428008022090298927/195312500000000000000000000000000000 (/.f64 1 (pow.f64 z 6))))))
(/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3))
(+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))))
(+.f64 (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
(+.f64 (.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (/.f64 1 (pow.f64 z 5))) (.f64 688641173045047177036613100428008022090298927/195312500000000000000000000000000000 (/.f64 1 (pow.f64 z 6))))))

Outputs
458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (*.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z))
(fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000)
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2))))
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (.f64 z z))))
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (fma.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (.f64 z z) (.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z)))
(fma.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z (fma.f64 z (*.f64 z 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000) 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000))
(fma.f64 z (fma.f64 z 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000) 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000)
(+.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 (+.f64 (.f64 458891030965964263706993392018425544321343929291/27000000000000000000000000000000000000000 z) (+.f64 (.f64 458891030965964263706993392018425544321343929291/72900000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 458891030965964263706993392018425544321343929291/40500000000000000000000000000000000000000 (pow.f64 z 2)))))
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(+.f64 (/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (pow.f64 z 4)) (+.f64 (/.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (pow.f64 z 5)) (/.f64 688641173045047177036613100428008022090298927/195312500000000000000000000000000000 (pow.f64 z 6)))))
(+.f64 (/.f64 688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 (/.f64 688641173045047177036613100428008022090298927/195312500000000000000000000000000000 (pow.f64 z 6)) (+.f64 (/.f64 2065923519135141531109839301284024066270896781/31250000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 2065923519135141531109839301284024066270896781/3906250000000000000000000000000000000 (pow.f64 z 5)))))

prune333.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	131	5	136

Error

0.3b

Counts

136 → 5

Alt Table

Status	Error	Program
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))))) (+.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)))))))))
	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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.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))))))) (+.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)))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.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))))))) (+.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)))))))))
▶	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))

Compiler

Compiled 17154 to 13760 computations (19.8% saved)

localize57.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
✓	1.0b	(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
	1.0b	(sqrt.f64 (*.f64 (PI.f64) 2))
	1.5b	(pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3)

series10.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

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

3.0ms

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

2.0ms

-inf

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

rewrite38.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`add-log-exp_binary64`
84×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	189	10
2	2293	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)

Outputs

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

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-l_binary64`
557×	`fma-def_binary64`
514×	`associate-r_binary64`
222×	`distribute-rgt-in_binary64`
220×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	498
1	237	391
2	948	302

Stop Event

1×	node limit

Counts

45 → 49

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (sqrt.f64 1/3)))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))))) (*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (sqrt.f64 1/3)))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3)) (.f64 (pow.f64 z 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (sqrt.f64 1/3))) (+.f64 (.f64 1/18 (/.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))) (sqrt.f64 1/3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/81 (.f64 1/18 (/.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (pow.f64 (sqrt.f64 1/3) 2)))) (sqrt.f64 1/3)))) (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (pow.f64 (sqrt.f64 1/3) 2))) (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/81 (.f64 1/18 (/.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (pow.f64 (sqrt.f64 1/3) 2)))))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3))))))))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3))
(.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/10000000000000 (*.f64 (sqrt.f64 1/3) 1/3)))
(.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/30000000000000 (sqrt.f64 1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3)))
(fma.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)) 1/6) z (*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3)))
(fma.f64 (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) 1/6)) z (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/10000000000000 (.f64 (sqrt.f64 1/3) 1/3))))
(.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/10000000000000 (sqrt.f64 1/3))) (+.f64 1/3 (.f64 1/6 z)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (sqrt.f64 1/3)))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))))) (*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3))))
(fma.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)) 1/6) z (fma.f64 (.f64 z z) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (sqrt.f64 1/3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (fma.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)) (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3)) (fma.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))) (*.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3))))
(fma.f64 (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) 1/6)) z (fma.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) 1/3) (.f64 (.f64 z z) (fma.f64 (.f64 7713234287776531/20000000000000 (sqrt.f64 7713234287776531/10000000000000)) (.f64 (sqrt.f64 1/3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (fma.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (fma.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) 7713234287776531/10000000000000 7713234287776531/1080000000000000)) (/.f64 (*.f64 7713234287776531/1620000000000000 (sqrt.f64 7713234287776531/10000000000000)) (sqrt.f64 1/3)))))))
(fma.f64 z (.f64 z (+.f64 (/.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/1620000000000000) (sqrt.f64 1/3)) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (+.f64 7713234287776531/216000000000000 (.f64 -7713234287776531/10000000000000 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/20000000000000) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))))))) (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/10000000000000 (sqrt.f64 1/3))) (+.f64 1/3 (*.f64 1/6 z))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 1/18 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)))) z) (+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (sqrt.f64 1/3)))) (+.f64 (.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))))) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3)) (.f64 (pow.f64 z 3) (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (sqrt.f64 1/3))) (+.f64 (.f64 1/18 (/.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (+.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))) (sqrt.f64 1/3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (-.f64 1/81 (.f64 1/18 (/.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (pow.f64 (sqrt.f64 1/3) 2)))) (sqrt.f64 1/3)))) (.f64 (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (pow.f64 (sqrt.f64 1/3) 2))) (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/81 (.f64 1/18 (/.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (pow.f64 (sqrt.f64 1/3) 2)))))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3))))))))))
(fma.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)) 1/6) z (fma.f64 (.f64 z z) (fma.f64 1/2 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (.f64 (sqrt.f64 1/3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (fma.f64 1/162 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (sqrt.f64 1/3)) (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3)) (fma.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2))))))) (fma.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (pow.f64 (sqrt.f64 1/3) 3) (.f64 (pow.f64 z 3) (fma.f64 1/18 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (/.f64 (sqrt.f64 1/3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (fma.f64 1/18 (/.f64 (sqrt.f64 7713234287776531/10000000000000) (/.f64 (sqrt.f64 1/3) (fma.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (.f64 1/324 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (pow.f64 (sqrt.f64 1/3) 2)))))) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 3) (-.f64 1/81 (/.f64 (.f64 1/18 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (pow.f64 (sqrt.f64 1/3) 2)))) (sqrt.f64 1/3)) (.f64 (fma.f64 1/18 (/.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (/.f64 (pow.f64 (sqrt.f64 1/3) 2) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (.f64 (pow.f64 (sqrt.f64 7713234287776531/10000000000000) 2) (-.f64 1/81 (/.f64 (.f64 1/18 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (pow.f64 (sqrt.f64 1/3) 2))))) (*.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3))))))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) 1/6)) z (fma.f64 (.f64 z z) (fma.f64 (.f64 7713234287776531/20000000000000 (sqrt.f64 7713234287776531/10000000000000)) (.f64 (sqrt.f64 1/3) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (fma.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) (fma.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) 7713234287776531/10000000000000 7713234287776531/1080000000000000)) (/.f64 (.f64 7713234287776531/1620000000000000 (sqrt.f64 7713234287776531/10000000000000)) (sqrt.f64 1/3)))) (fma.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/10000000000000) (.f64 (sqrt.f64 1/3) 1/3) (.f64 (pow.f64 z 3) (+.f64 (/.f64 (.f64 (.f64 7713234287776531/180000000000000 (sqrt.f64 7713234287776531/10000000000000)) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) (sqrt.f64 1/3)) (fma.f64 1/18 (.f64 (/.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3)) (fma.f64 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) 7713234287776531/10000000000000 7713234287776531/1080000000000000)) (fma.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 1/81 (.f64 (-.f64 1/9 (/.f64 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2) 1/3)) -1/18)) (.f64 1/18 (.f64 23139702863329593/10000000000000 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))))) (.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3)) (.f64 (.f64 (sqrt.f64 1/3) (+.f64 1/81 (.f64 (-.f64 1/9 (/.f64 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2) 1/3)) -1/18))) (.f64 7713234287776531/20000000000000 (sqrt.f64 7713234287776531/10000000000000))))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (.f64 7713234287776531/10000000000000 (sqrt.f64 1/3))) (+.f64 1/3 (.f64 1/6 z))) (.f64 (.f64 z z) (+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/1620000000000000) (sqrt.f64 1/3)) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) (+.f64 7713234287776531/216000000000000 (.f64 -7713234287776531/10000000000000 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))) (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/20000000000000) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)))))) (.f64 z (fma.f64 1/18 (fma.f64 (.f64 (/.f64 7713234287776531/10000000000000 (sqrt.f64 1/3)) (sqrt.f64 7713234287776531/10000000000000)) (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2)) (.f64 (/.f64 (sqrt.f64 7713234287776531/10000000000000) (sqrt.f64 1/3)) (+.f64 7713234287776531/216000000000000 (.f64 -7713234287776531/10000000000000 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))))) (.f64 (sqrt.f64 1/3) (+.f64 (.f64 (.f64 (sqrt.f64 7713234287776531/10000000000000) 7713234287776531/20000000000000) 5/648) (.f64 (sqrt.f64 7713234287776531/10000000000000) (+.f64 (*.f64 7713234287776531/60000000000000 (-.f64 1/27 (pow.f64 (/.f64 1/18 (sqrt.f64 1/3)) 2))) 7713234287776531/1296000000000000)))))))))

prune538.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	177	6	183

Error

0.3b

Counts

183 → 6

Alt Table

Status	Error	Program
▶	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))))) (+.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)))))))))
	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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))
	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.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))))))) (+.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)))))))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))

Compiler

Compiled 25721 to 20932 computations (18.6% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

-inf

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

1.0ms

inf

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

rewrite39.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`add-log-exp_binary64`
681×	`log1p-expm1-u_binary64`
681×	`expm1-log1p-u_binary64`
676×	`pow1_binary64`
57×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	102
1	1424	102

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))) (*.f64 (+.f64 (/.f64 -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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (/.f64 -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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 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(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
465×	`times-frac_binary64`
338×	`associate-/l*_binary64`
281×	`distribute-rgt-in_binary64`
273×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1529
1	490	1442
2	1516	1313

Stop Event

1×	node limit

Counts

20 → 28

Calls

Call 1

Inputs
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2))))) (exp.f64 15/2)) (+.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 (.f64 (pow.f64 z 3) (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 64608921419941589693928044520019/118540800000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (+.f64 (.f64 65983161785453494848149496432612687872/108761658163200000000000000000000000 (sqrt.f64 15/2)) (.f64 1106209385320415913103082059/4200000000000000000000000 (.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)))))))))) (exp.f64 15/2)) (+.f64 (.f64 -1106209385320415913103082059/25200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2))))) (exp.f64 15/2)) (+.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))) (.f64 1/2 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))))) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (+.f64 29/225 (.f64 1/2 (pow.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2))) (+.f64 (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 64608921419941589693928044520019/118540800000000000000000000000 (sqrt.f64 15/2))))) (exp.f64 15/2)) (+.f64 (.f64 -1 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (.f64 1106209385320415913103082059/8400000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (pow.f64 z 2)) (sqrt.f64 (PI.f64))) (+.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (-.f64 (.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))) (.f64 102757979785251069442117317613/235200000000000000000000000 (sqrt.f64 15/2)))) (exp.f64 15/2)) (.f64 -1106209385320415913103082059/4200000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) z) (sqrt.f64 (PI.f64))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 (PI.f64)))))))
(.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (*.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64))))))
(+.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) z)) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (.f64 -1 z) 15/2)) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (exp.f64 (+.f64 (.f64 -1 z) 15/2))) (sqrt.f64 (PI.f64)))) (.f64 -398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 2) (exp.f64 (.f64 (log.f64 (+.f64 (.f64 -1 z) 15/2)) (+.f64 (.f64 -1 z) 1/2)))) (.f64 (exp.f64 (+.f64 (*.f64 -1 z) 15/2)) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))))))

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

prune300.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	136	6	142

Error

0.3b

Counts

142 → 6

Alt Table

Status	Error	Program
✓	1.0b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (.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)))))) (+.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)))))))))
	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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (exp.f64 (log.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))
	2.7b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 2)))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))
✓	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3) (pow.f64 (sqrt.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))))))) (+.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)))))))))
	0.5b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (pow.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.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))))))) 1))

Compiler

Compiled 15356 to 12264 computations (20.1% saved)

regimes495.0ms (0.9%)

Accuracy

Total 0.2b remaining (40.2%)

Threshold costs 0.2b (40.2%)

Counts

125 → 1

Compiler

Compiled 12720 to 10077 computations (20.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	119
1	87	119
2	100	119
3	102	119
4	103	119

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))))

Outputs

(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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)))))))))

end376.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 847 to 708 computations (16.4% saved)

Details

analyze2.5s (4.5%)

sample50.7s (90.4%)

preprocess37.0ms (0.1%)

simplify24.0ms (0%)

prune12.0ms (0%)

localize45.0ms (0.1%)

series15.0ms (0%)

rewrite45.0ms (0.1%)

simplify54.0ms (0.1%)

prune188.0ms (0.3%)

localize53.0ms (0.1%)

series4.0ms (0%)

rewrite51.0ms (0.1%)

simplify36.0ms (0.1%)

prune333.0ms (0.6%)

localize57.0ms (0.1%)

series10.0ms (0%)

rewrite38.0ms (0.1%)

simplify23.0ms (0%)

prune538.0ms (1%)

localize47.0ms (0.1%)

series3.0ms (0%)

rewrite39.0ms (0.1%)

simplify40.0ms (0.1%)

prune300.0ms (0.5%)

regimes495.0ms (0.9%)

simplify5.0ms (0%)

end376.0ms (0.7%)

Profiling