Details

analyze2.5s (4.2%)

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)

sample55.0s (93.1%)

Results

51.1s	4057×	body	8192	exit
3.8s	8256×	body	128	valid
38.0ms	77×	body	128	invalid

Compiler

Compiled 254 to 224 computations (11.8% saved)

preprocess32.0ms (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)

simplify27.0ms (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)))))))))

prune11.0ms (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)

localize39.0ms (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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	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))

series18.0ms (0%)

Counts

4 → 28

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	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))))))))
4.0ms	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)))
2.0ms	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))))))))
1.0ms	z	@	inf	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 log1p.f64 (expm1.f64 (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 .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 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 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 .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 log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 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 (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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 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(/.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (/.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 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 (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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 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))))))))))))))

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
346×	`times-frac_binary64`
213×	`cancel-sign-sub-inv_binary64`
193×	`associate-r_binary64`
150×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	1933
1	664	1895
2	2510	1731

Stop Event

1×	node limit

Counts

69 → 78

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
(-.f64 (+.f64 (.f64 14/15 (/.f64 (.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(-.f64 (+.f64 (.f64 14/15 (/.f64 (.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (.f64 127/225 (/.f64 (.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (.f64 14/15 (/.f64 (.f64 (log.f64 15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))))
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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 222980468271960011/8640000000000000 (pow.f64 z 2)) (+.f64 (.f64 53758197989915921/720000000000000 z) (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 47576671969241/80000000000 (/.f64 1 z))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 47576671969241/80000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 47576671969241/80000000000 (/.f64 1 z))))))
(.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))
(-.f64 (+.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))))
(-.f64 (+.f64 (.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 1479421971200822750497987168891/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))))))
(-.f64 (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))) (+.f64 (.f64 395971232097753800969862781701012907/276595200000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (.f64 2408637854869972117504576098451/7056000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 3264229102083425005530891465931403/2963520000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 1106209385320415913103082059/25200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (log.f64 15/2) 3) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 1479421971200822750497987168891/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (+.f64 (.f64 2873958430942382271388124115516203/2963520000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/8400000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (*.f64 (pow.f64 z 3) (sqrt.f64 15/2)))) (exp.f64 15/2))))))))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))
(-.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))))
(.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))
(-.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))))

Outputs
(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))
(-.f64 (+.f64 (.f64 14/15 (/.f64 (.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(-.f64 (fma.f64 14/15 (/.f64 (.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) z))))
(-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)))
(-.f64 (+.f64 (.f64 14/15 (/.f64 (.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (.f64 127/225 (/.f64 (.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (.f64 (log.f64 15/2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) (.f64 14/15 (/.f64 (.f64 (log.f64 15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))))
(-.f64 (fma.f64 14/15 (/.f64 (.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z z)))) (fma.f64 127/225 (/.f64 (.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (+.f64 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) z))) (.f64 14/15 (/.f64 (.f64 (.f64 (log.f64 15/2) (*.f64 z z)) (sqrt.f64 15/2)) (exp.f64 15/2)))))
(-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 z z))) (fma.f64 127/225 (/.f64 z (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) z))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))) (fma.f64 14/15 (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 z z))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (.f64 892/3375 (/.f64 (.f64 (pow.f64 z 3) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 14/15 (/.f64 (.f64 z (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 127/225 (/.f64 (.f64 (pow.f64 z 2) (sqrt.f64 15/2)) (exp.f64 15/2))) (+.f64 (.f64 7/15 (/.f64 (.f64 (pow.f64 (log.f64 15/2) 2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (+.f64 (.f64 14/15 (/.f64 (.f64 (log.f64 15/2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 (log.f64 15/2) 3) (.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (+.f64 (.f64 127/225 (/.f64 (.f64 (log.f64 15/2) (.f64 (pow.f64 z 3) (sqrt.f64 15/2))) (exp.f64 15/2))) (/.f64 (.f64 (log.f64 15/2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))))
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z z)))) (fma.f64 892/3375 (/.f64 (pow.f64 z 3) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 14/15 (/.f64 (.f64 (sqrt.f64 15/2) z) (exp.f64 15/2)) (fma.f64 127/225 (/.f64 (.f64 z z) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (fma.f64 7/15 (/.f64 (pow.f64 (log.f64 15/2) 2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (/.f64 (.f64 (.f64 (log.f64 15/2) (.f64 z z)) (sqrt.f64 15/2)) (exp.f64 15/2)) (fma.f64 1/6 (/.f64 (.f64 (.f64 (sqrt.f64 15/2) (pow.f64 z 3)) (pow.f64 (log.f64 15/2) 3)) (exp.f64 15/2)) (fma.f64 127/225 (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) z)))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 z z))) (fma.f64 892/3375 (.f64 (/.f64 (pow.f64 z 3) (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (fma.f64 127/225 (/.f64 z (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) z))) (fma.f64 7/15 (.f64 (/.f64 (pow.f64 (log.f64 15/2) 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (fma.f64 14/15 (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (.f64 z z))) (fma.f64 1/6 (.f64 (/.f64 (pow.f64 (log.f64 15/2) 3) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) (pow.f64 z 3))) (fma.f64 127/225 (/.f64 (.f64 (log.f64 15/2) (pow.f64 z 3)) (/.f64 (exp.f64 15/2) (sqrt.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z))))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
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(.f64 (sqrt.f64 (PI.f64)) (+.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 -611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 z (exp.f64 (-.f64 15/2 z)))))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z)))))
(+.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.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 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z)))))))
(fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (fma.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (/.f64 (.f64 -611458333333720910362579/25000000000000000000000 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (sqrt.f64 2)) 9999999999998099/10000000000000000) (.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))) (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))))
(-.f64 (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 2))))) (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (exp.f64 (-.f64 15/2 z)))))) (+.f64 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (.f64 (exp.f64 (-.f64 15/2 z)) (pow.f64 z 3))))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 2)) (*.f64 (exp.f64 (-.f64 15/2 z)) z))))))
(-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.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 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (exp.f64 (-.f64 15/2 z)) (sqrt.f64 2)))))) (fma.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))) (/.f64 (sqrt.f64 2) (pow.f64 z 3)))) (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (-.f64 15/2 z))))))))
(-.f64 (fma.f64 9999999999998099/10000000000000000 (/.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 15/2 z))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))))) (fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.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 (.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))) 398308844029173303716389/6250000000000000000000))))
(-.f64 (.f64 (sqrt.f64 (PI.f64)) (+.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 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (.f64 z z)) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z))))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (.f64 z (exp.f64 (-.f64 15/2 z))))) (.f64 398308844029173303716389/6250000000000000000000 (.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)))))))

prune156.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Error

0.3b

Counts

80 → 5

Alt Table

Status	Error	Program
	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z (log.f64 15/2))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))))
▶	0.5b	(.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)))))))))

Compiler

Compiled 7551 to 5888 computations (22% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	1.0b	(.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))))))))
	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))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.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))))))))
1.0ms	z	@	inf	(.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))))))))
1.0ms	z	@	-inf	(.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))))))))

Time

Variable

Point

Expression

1.0ms

(*.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))))))))

1.0ms

inf

(*.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))))))))

1.0ms

-inf

(*.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))))))))

rewrite34.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`expm1-log1p-u_binary64`
674×	`add-log-exp_binary64`
674×	`log1p-expm1-u_binary64`
668×	`pow1_binary64`
55×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	102
1	1392	102

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(.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))))))))

Inputs

(*.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
((#(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 (/.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 (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 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(/.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 6765203681218851/10000000000000 (-.f64 1 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2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 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(-.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 (/.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 (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 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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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simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

645×	`fma-def_binary64`
483×	`associate-/l*_binary64`
346×	`times-frac_binary64`
343×	`associate-/r*_binary64`
324×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1391
1	422	1369
2	1678	1208

Stop Event

1×	node limit

Counts

20 → 24

Calls

Call 1

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

prune161.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Error

0.3b

Counts

83 → 5

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z (log.f64 15/2))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))))
✓	0.5b	(.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)))))))))

Compiler

Compiled 7582 to 5935 computations (21.7% saved)

localize47.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
✓	1.0b	(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.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	(sqrt.f64 (*.f64 (PI.f64) 2))
✓	1.0b	(/.f64 (sqrt.f64 15/2) (exp.f64 15/2))

series6.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.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

inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.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

-inf

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.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))))))))

rewrite39.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`add-log-exp_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
715×	`pow1_binary64`
60×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	132
1	1490	132

Stop Event

1×	node limit

Counts

2 → 18

Calls

Call 1

Inputs

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

(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (*.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (*.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (*.f64 (sqrt.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 (sqrt.f64 15/2) (/.f64 1 (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)))) (cbrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (sqrt.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))))))

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simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-def_binary64`
368×	`associate-/l*_binary64`
325×	`cancel-sign-sub-inv_binary64`
319×	`associate-*l/_binary64`
295×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1506
1	386	1485
2	1575	1413

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 564731375554618463797500153625871/592704000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 z 2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (+.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))) (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))) (+.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (.f64 102757979785251069442117317613/235200000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (*.f64 (pow.f64 z 2) (sqrt.f64 15/2)))) (exp.f64 15/2))))))
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Outputs
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(-.f64 (+.f64 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (.f64 17072670717516914285600889/125000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 15/2) z)))) (+.f64 (.f64 10599538813740651385178059/93750000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 (exp.f64 15/2) (pow.f64 z 2))))) (+.f64 (.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (sqrt.f64 15/2))) (exp.f64 15/2)))) (.f64 69999999999986693/75000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))))))) (+.f64 (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 (log.f64 15/2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) z)))) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 15/2) (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2)))) (exp.f64 15/2)))) (.f64 4092708333336082016288053/187500000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2)))))))
(-.f64 (fma.f64 398308844029173303716389/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (.f64 z z)))) (fma.f64 17072670717516914285600889/125000000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) z)) (fma.f64 10599538813740651385178059/93750000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (.f64 (exp.f64 15/2) (.f64 z z))) (fma.f64 611458333333720910362579/25000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (log.f64 15/2))))) (.f64 (.f64 69999999999986693/75000000000000000 (sqrt.f64 (PI.f64))) (/.f64 (.f64 (.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2))))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (.f64 (sqrt.f64 15/2) (log.f64 15/2)) z))) (fma.f64 9999999999998099/10000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 15/2) (/.f64 (exp.f64 15/2) (.f64 (.f64 (sqrt.f64 2) z) (sqrt.f64 15/2))))) (.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 15/2))) 4092708333336082016288053/187500000000000000000000))))
(-.f64 (fma.f64 398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) z) (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (PI.f64)))) (fma.f64 17072670717516914285600889/125000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) z))) (fma.f64 10599538813740651385178059/93750000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (.f64 z z)))) (fma.f64 611458333333720910362579/25000000000000000000000 (/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (exp.f64 15/2) (.f64 (sqrt.f64 15/2) (log.f64 15/2)))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) z)) 69999999999986693/75000000000000000) (exp.f64 15/2)))))) (fma.f64 1078390842009938509147167/6250000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (/.f64 (sqrt.f64 15/2) (/.f64 z (log.f64 15/2))))) (fma.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (sqrt.f64 15/2))) 4092708333336082016288053/187500000000000000000000 (.f64 (/.f64 (.f64 (log.f64 15/2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) (*.f64 (sqrt.f64 15/2) z))) 9999999999998099/10000000000000000))))
(-.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) z) 69999999999986693/75000000000000000) (.f64 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (log.f64 15/2)) 611458333333720910362579/25000000000000000000000))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (.f64 (sqrt.f64 2) 10599538813740651385178059/93750000000000000000000) (.f64 (/.f64 (.f64 z z) (sqrt.f64 15/2)) (exp.f64 15/2))) (.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)) 17072670717516914285600889/125000000000000000000000)))) (.f64 (sqrt.f64 (PI.f64)) (-.f64 (.f64 398308844029173303716389/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (/.f64 (log.f64 15/2) (.f64 z z)))) (.f64 1078390842009938509147167/6250000000000000000000 (.f64 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2))) (/.f64 (log.f64 15/2) z)))))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (.f64 9999999999998099/10000000000000000 (.f64 (/.f64 (.f64 (sqrt.f64 15/2) (log.f64 15/2)) (exp.f64 15/2)) (.f64 (sqrt.f64 2) z))) (.f64 4092708333336082016288053/187500000000000000000000 (/.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 15/2) (sqrt.f64 2)))))))

prune158.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	73	5	78

Error

0.3b

Counts

78 → 5

Alt Table

Status	Error	Program
✓	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))))))
▶	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z (log.f64 15/2))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))))
✓	0.5b	(.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)))))))))

Compiler

Compiled 7266 to 5894 computations (18.9% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000)
✓	0.3b	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))
✓	1.0b	(/.f64 (sqrt.f64 2) (exp.f64 15/2))
✓	1.0b	(sqrt.f64 (PI.f64))

series6.0ms (0%)

Counts

4 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	z	@	0	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))
1.0ms	z	@	inf	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))
1.0ms	z	@	-inf	(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))
0.0ms	z	@	-inf	(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000)
0.0ms	z	@	0	(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000)

rewrite58.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`
213×	`log-pow_binary64`
148×	`add-sqr-sqrt_binary64`
141×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	309	55
2	3687	55

Stop Event

1×	node limit

Counts

4 → 89

Calls

Call 1

Inputs
(sqrt.f64 (PI.f64))
(/.f64 (sqrt.f64 2) (exp.f64 15/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))
(.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (*.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (PI.f64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (PI.f64) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (exp.f64 -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 5/2)) (cbrt.f64 (/.f64 2 (exp.f64 15))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 2 (exp.f64 15))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (exp.f64 15/4)) (/.f64 (pow.f64 2 1/4) (exp.f64 15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -15/2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (exp.f64 5)) (/.f64 (sqrt.f64 2) (exp.f64 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (exp.f64 5)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 2 1/4) (exp.f64 5)) (/.f64 (pow.f64 2 1/4) (exp.f64 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (exp.f64 15/4)) (/.f64 (sqrt.f64 2) (exp.f64 15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 2) (exp.f64 15/4)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 15/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (exp.f64 5/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) (exp.f64 15/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 15/2) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (exp.f64 15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (exp.f64 15)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (exp.f64 -15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 2 (sqrt.f64 2)) (exp.f64 45/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (exp.f64 -15/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 2) -15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 1/2 (log.f64 2) -15/2) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 3) (pow.f64 (PI.f64) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 (PI.f64)) (-.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 1/2 (log.f64 (PI.f64)) (-.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 15/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)) (/.f64 (exp.f64 15/2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))) (neg.f64 (exp.f64 15/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) z))) (exp.f64 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (.f64 15/2 (.f64 z z)) (/.f64 2 (exp.f64 15))) 5801536315912620865048967503140814690676630820662033244599401/12446784000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2408637854869972117504576098451/3528000000000000000000000000) (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (exp.f64 -15/2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 15/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 15/2) (.f64 z 2408637854869972117504576098451/3528000000000000000000000000)))) 15/2) 1))))))

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

286×	`associate-/l*_binary64`
252×	`associate-/r/_binary64`
231×	`associate-l_binary64`
176×	`*-commutative_binary64`
167×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	528
1	31	528
2	85	528
3	294	528
4	826	528
5	1406	528
6	1542	528
7	1558	528
8	1561	528
9	1561	528

Stop Event

1×

saturated

Counts

113 → 93

Calls

Call 1

Inputs
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))

Outputs
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (sqrt.f64 2) (.f64 z (sqrt.f64 15/2))) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (.f64 (sqrt.f64 (PI.f64)) z) (sqrt.f64 15/2))))
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(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 2) 2408637854869972117504576098451/3528000000000000000000000000) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 2) 2408637854869972117504576098451/3528000000000000000000000000) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 2) 2408637854869972117504576098451/3528000000000000000000000000) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 2) 2408637854869972117504576098451/3528000000000000000000000000) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (sqrt.f64 2) (*.f64 z (sqrt.f64 15/2))) (exp.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (/.f64 (.f64 (*.f64 (sqrt.f64 2) z) (sqrt.f64 15/2)) (exp.f64 15/2)))
(/.f64 (*.f64 (sqrt.f64 2) 2408637854869972117504576098451/3528000000000000000000000000) (/.f64 (/.f64 (exp.f64 15/2) z) (sqrt.f64 15/2)))
(.f64 2408637854869972117504576098451/3528000000000000000000000000 (.f64 (*.f64 z (sqrt.f64 15/2)) (/.f64 (sqrt.f64 2) (exp.f64 15/2))))
(.f64 (.f64 (sqrt.f64 15/2) (/.f64 (sqrt.f64 2) (exp.f64 15/2))) (*.f64 2408637854869972117504576098451/3528000000000000000000000000 z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 15/2) (exp.f64 15/2)) z))
(.f64 (.f64 2408637854869972117504576098451/3528000000000000000000000000 (sqrt.f64 2)) (*.f64 z (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))))

prune177.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	149	5	154

Error

0.3b

Counts

154 → 5

Alt Table

Status	Error	Program
✓	0.8b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 2)) (-.f64 (fma.f64 14/15 (.f64 (/.f64 z (exp.f64 15/2)) (sqrt.f64 15/2)) (/.f64 (sqrt.f64 15/2) (exp.f64 15/2))) (.f64 (/.f64 (log.f64 15/2) (exp.f64 15/2)) (.f64 (sqrt.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)))))
	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (.f64 (.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))))))
✓	1.4b	(.f64 (/.f64 (PI.f64) (sin.f64 (.f64 (PI.f64) z))) (fma.f64 (.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (-.f64 (sqrt.f64 15/2) (.f64 (sqrt.f64 15/2) (.f64 z (log.f64 15/2))))) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (/.f64 (sqrt.f64 2) (exp.f64 15/2)) (.f64 (sqrt.f64 15/2) z)) 2408637854869972117504576098451/3528000000000000000000000000))))
✓	0.5b	(.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)))))))))

Compiler

Compiled 7294 to 5413 computations (25.8% saved)

regimes100.0ms (0.2%)

Accuracy

Total 0.2b remaining (39.4%)

Threshold costs 0.2b (39.4%)

Counts

38 → 1

Compiler

Compiled 2533 to 1952 computations (22.9% saved)

simplify4.0ms (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)))))))))

end248.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 563 to 473 computations (16% saved)

Details

analyze2.5s (4.2%)

sample55.0s (93.1%)

preprocess32.0ms (0.1%)

simplify27.0ms (0%)

prune11.0ms (0%)

localize39.0ms (0.1%)

series18.0ms (0%)

rewrite45.0ms (0.1%)

simplify46.0ms (0.1%)

prune156.0ms (0.3%)

localize43.0ms (0.1%)

series2.0ms (0%)

rewrite34.0ms (0.1%)

simplify36.0ms (0.1%)

prune161.0ms (0.3%)

localize47.0ms (0.1%)

series6.0ms (0%)

rewrite39.0ms (0.1%)

simplify38.0ms (0.1%)

prune158.0ms (0.3%)

localize21.0ms (0%)

series6.0ms (0%)

rewrite58.0ms (0.1%)

simplify43.0ms (0.1%)

prune177.0ms (0.3%)

regimes100.0ms (0.2%)

simplify4.0ms (0%)

end248.0ms (0.4%)

Profiling