Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample1.1s (29%)

Results

1.0s	8256×	body	256	valid
6.0ms	5×	body	256	invalid

Bogosity

preprocess75.0ms (2%)

Algorithm

2×	egg-herbie

Rules

2686×	`fma-def`
1290×	`unsub-neg`
1130×	`fma-neg`
1126×	`distribute-lft-in`
864×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	112	51
3	330	51
4	986	51
5	1778	47
6	3759	47
7	6509	47
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2686×	`fma-def`
1290×	`unsub-neg`
1130×	`fma-neg`
1126×	`distribute-lft-in`
864×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	112	51
3	330	51
4	986	51
5	1778	47
6	3759	47
7	6509	47

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(/.f64 4 (.f64 (.f64 3 (PI.f64)) (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (+.f64 2 (.f64 -6 (.f64 v v)))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (fma.f64 v (.f64 v -6) 2)))
(/.f64 (/.f64 (/.f64 -4/3 (fma.f64 v v -1)) (PI.f64)) (sqrt.f64 (fma.f64 v (*.f64 v -6) 2)))

eval2.0ms (0.1%)

Compiler: Compiled 109 to 72 computations (33.9% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Accurracy

100.0%

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.5%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Status

Accuracy

Program

▶

100.0%

(/.f64 (/.f64 4/3 (*.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) (sqrt.f64 (+.f64 2 (*.f64 (*.f64 v v) -6))))

▶

98.5%

(/.f64 4 (*.f64 (*.f64 (*.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v))) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

Compiler

Compiled 40 to 30 computations (25% saved)

localize28.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))
✓	100.0%	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
✓	99.8%	(.f64 6 (.f64 v v))
✓	98.5%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 86 to 52 computations (39.5% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	0	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
1.0ms	v	@	-inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
1.0ms	v	@	0	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
1.0ms	v	@	inf	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))

rewrite115.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`log-prod`
714×	`expm1-udef`
712×	`log1p-udef`
658×	`prod-diff`
520×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	156
1	432	150
2	5344	142

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(.f64 6 (.f64 v v))
(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
(.f64 (.f64 3 (PI.f64)) (-.f64 1 (*.f64 v v)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (.f64 (.f64 3 (PI.f64)) (neg.f64 (.f64 (-.f64 1 (.f64 v v)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 v (.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))) (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (.f64 v 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 v (.f64 v 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 216 (pow.f64 v 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 v (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 36 (pow.f64 v 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 216 (pow.f64 v 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 v (.f64 v 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 v (.f64 v 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (fma.f64 (.f64 v v) -6 2) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3) (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 v v) -6 2) 3/2) (pow.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))))))
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(neg.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))))))

simplify124.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-+r+`
1100×	`unswap-sqr`
774×	`times-frac`
480×	`fma-def`
480×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	8416
1	1107	7920
2	4091	7542

Stop Event

1×	node limit

Counts

154 → 237

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(expm1.f64 (log1p.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(exp.f64 (log.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(fma.f64 3 (PI.f64) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 3 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (PI.f64) 3 (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (PI.f64) 3 (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (.f64 3 (PI.f64)) 1 (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 (.f64 3 (PI.f64)) 1 (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 1 (.f64 3 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 1 (.f64 3 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 3) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 3) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 (cbrt.f64 (.f64 3 (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (.f64 3 (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (cbrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (cbrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))))
(.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v)))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 v v))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(.f64 4/3 (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (*.f64 (sqrt.f64 1/2) (PI.f64))))))))
(+.f64 (.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 4/3 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (sqrt.f64 1/2) (PI.f64))))))))) (.f64 4/3 (.f64 (pow.f64 v 2) (+.f64 (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (sqrt.f64 1/2) (PI.f64))))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (+.f64 (.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (/.f64 (.f64 1/2 (+.f64 27/2 (.f64 -3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(fma.f64 4/3 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (pow.f64 v 6) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 1/2 (/.f64 (-.f64 27/2 (.f64 3/4 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)))) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (*.f64 v v))))))
(.f64 4/3 (+.f64 (.f64 (pow.f64 v 4) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 1/2 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (+.f64 (fma.f64 (pow.f64 v 6) (+.f64 (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (PI.f64)) (/.f64 (+.f64 27/2 (.f64 (-.f64 9 (/.f64 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2) 1/2)) -3/4)) (PI.f64))))) (.f64 v (.f64 v (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64))))))) (/.f64 (sqrt.f64 1/2) (PI.f64)))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))
(*.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))
(fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (.f64 4/3 (-.f64 (/.f64 1/36 (*.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))))
(fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (pow.f64 v 7)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3)))))
(+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (pow.f64 v 9))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5))) (+.f64 (.f64 4/3 (/.f64 (+.f64 (.f64 1/36 (/.f64 1 (.f64 (sqrt.f64 -1/6) (PI.f64)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (pow.f64 v 7))) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (pow.f64 v 3) (PI.f64)))))))
(fma.f64 4/3 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (PI.f64) (sqrt.f64 -1/6))) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (neg.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (fma.f64 -1 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))))) (pow.f64 v 7)) (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 3)))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (fma.f64 1/2 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 4/3 (/.f64 (pow.f64 v 7) (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (-.f64 (.f64 1/2 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (*.f64 (PI.f64) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) (PI.f64)))))))))
(fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (+.f64 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)) (/.f64 (fma.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) -1/6) 1/162) (PI.f64))))) (pow.f64 v 9)) (fma.f64 4/3 (/.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (pow.f64 v 5)) (fma.f64 4/3 (/.f64 (+.f64 (-.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 -1/6) (PI.f64))) (.f64 (/.f64 1/2 (sqrt.f64 -1/6)) (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (PI.f64)))) (pow.f64 v 7)) (.f64 (/.f64 (sqrt.f64 -1/6) (PI.f64)) (/.f64 -4/3 (pow.f64 v 3))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(cbrt.f64 (.f64 (pow.f64 (.f64 3 (PI.f64)) 3) (pow.f64 (-.f64 1 (*.f64 v v)) 3)))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 v v)) 3) (pow.f64 (*.f64 3 (PI.f64)) 3)))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(expm1.f64 (log1p.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(exp.f64 (log.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(exp.f64 (.f64 (log.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(log1p.f64 (expm1.f64 (.f64 3 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 3 (PI.f64) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 3 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (PI.f64) 3 (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (PI.f64) 3 (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (PI.f64)) 1 (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (PI.f64)) 1 (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 1 (.f64 3 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 1 (.f64 3 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 3) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 3) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (cbrt.f64 (.f64 3 (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (*.f64 (PI.f64) 3) v) (neg.f64 v)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 (neg.f64 v) (*.f64 v 3))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 -3 (*.f64 v v))))
(fma.f64 (cbrt.f64 (.f64 3 (PI.f64))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (*.f64 (PI.f64) 3) v) (neg.f64 v)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 (neg.f64 v) (*.f64 v 3))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 -3 (*.f64 v v))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (cbrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (*.f64 (PI.f64) 3) v) (neg.f64 v)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 (neg.f64 v) (*.f64 v 3))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 -3 (*.f64 v v))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 9)) (cbrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (.f64 (*.f64 (PI.f64) 3) v) (neg.f64 v)))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 (neg.f64 v) (*.f64 v 3))))
(fma.f64 (cbrt.f64 (.f64 (PI.f64) 3)) (cbrt.f64 (.f64 9 (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 -3 (*.f64 v v))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 3) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 3 (PI.f64)) (*.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (sqrt.f64 (.f64 3 (PI.f64))) (sqrt.f64 (.f64 3 (PI.f64))) (.f64 (.f64 v (neg.f64 v)) (*.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 3 (PI.f64)) (.f64 v (neg.f64 v))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))
(fma.f64 (.f64 3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (.f64 3 (PI.f64))))
(fma.f64 -3 (.f64 (PI.f64) (.f64 v v)) (*.f64 (PI.f64) 3))
(.f64 (PI.f64) (+.f64 3 (.f64 -3 (*.f64 v v))))

localize25.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
✓	99.8%	(.f64 (.f64 v v) -6)
✓	98.5%	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))

Compiler

Compiled 69 to 39 computations (43.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	-inf	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	inf	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	0	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
0.0ms	v	@	-inf	(.f64 (.f64 v v) -6)
0.0ms	v	@	inf	(.f64 (.f64 v v) -6)

rewrite81.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`log-prod`
716×	`pow-prod-down`
580×	`pow-prod-up`
536×	`pow-exp`
476×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	277	61
2	3391	61

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(.f64 (.f64 v v) -6)
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

Outputs
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Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (*.f64 v -6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 v (*.f64 v -6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (*.f64 v -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 v (*.f64 v -6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v 4) 36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (sqrt.f64 -6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 v 4) 36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 v (*.f64 v -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 v (*.f64 v -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 v (*.f64 v -6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 v (sqrt.f64 -6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 v (*.f64 v -6))))))))

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

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1288×	`fma-def`
860×	`associate-*r/`
694×	`distribute-lft-in`
686×	`distribute-rgt-in`
662×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3783
1	627	3529
2	1877	3393

Stop Event

1×	node limit

Counts

129 → 147

Calls

Call 1

Inputs
(/.f64 4/3 (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(*.f64 -6 (pow.f64 v 2))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1)
(.f64 4/3 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))))
(.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 1)
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) 2)) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(.f64 -4/3 (/.f64 1 (.f64 (-.f64 1 (*.f64 v v)) (neg.f64 (PI.f64)))))
(.f64 (/.f64 (/.f64 1 (PI.f64)) (-.f64 1 (.f64 v v))) 4/3)
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (-.f64 1 (.f64 v v))))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(*.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 2)
(pow.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) -1)
(pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (*.f64 v v)))) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (/.f64 4/3 (-.f64 1 (.f64 v v))))) -1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))))
(+.f64 0 (.f64 v (.f64 v -6)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))))
(-.f64 (exp.f64 (log1p.f64 (.f64 v (.f64 v -6)))) 1)
(pow.f64 (.f64 v (.f64 v -6)) 1)
(pow.f64 (cbrt.f64 (.f64 v (.f64 v -6))) 3)
(pow.f64 (*.f64 (pow.f64 v 4) 36) 1/2)
(pow.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -6)) 2)
(sqrt.f64 (*.f64 (pow.f64 v 4) 36))
(log.f64 (pow.f64 (pow.f64 (exp.f64 v) v) -6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 v (.f64 v -6)))))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 -6)) 6))
(expm1.f64 (log1p.f64 (.f64 v (.f64 v -6))))
(exp.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 -6)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 v (*.f64 v -6)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 v (sqrt.f64 -6)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 -6))) 2))
(log1p.f64 (expm1.f64 (.f64 v (.f64 v -6))))
(+.f64 (PI.f64) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(+.f64 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (.f64 v v)))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (.f64 v v)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (.f64 v v))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (.f64 v v))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (.f64 v v))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1)
(/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (*.f64 (PI.f64) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (PI.f64)) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (PI.f64)) (fma.f64 v v 1))
(pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (-.f64 1 (*.f64 v v))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))) 3))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (-.f64 1 (*.f64 v v))))) 2))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))))
(fma.f64 (PI.f64) 1 (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 (PI.f64) 1 (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(fma.f64 1 (PI.f64) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 1 (PI.f64) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 v (neg.f64 v))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (.f64 (.f64 v (neg.f64 v)) (PI.f64)))

Outputs
(/.f64 4/3 (PI.f64))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (/.f64 4/3 (PI.f64)))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (fma.f64 v v 1) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (*.f64 4/3 (/.f64 1 (PI.f64)))))
(fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64))))
(fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (*.f64 4/3 (/.f64 (fma.f64 v v 1) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64))) (.f64 4/3 (/.f64 1 (PI.f64))))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (*.f64 v v) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 v (/.f64 (PI.f64) v)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (/.f64 4/3 (PI.f64)))))
(fma.f64 4/3 (/.f64 (pow.f64 v 6) (PI.f64)) (fma.f64 4/3 (/.f64 (pow.f64 v 4) (PI.f64)) (*.f64 4/3 (/.f64 (fma.f64 v v 1) (PI.f64)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
(/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (*.f64 v v)))))
(-.f64 (/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64)) (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)))
(+.f64 (/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (+.f64 (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4))) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 6))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (+.f64 (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(+.f64 (+.f64 (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 8))) (+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (PI.f64) (.f64 v v)))
(/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (*.f64 v v)))))
(-.f64 (/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64)) (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)))
(+.f64 (/.f64 (/.f64 -4/3 (*.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4)))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))))
(-.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (+.f64 (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6)))))
(+.f64 (+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4))) (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 6))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 8) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(neg.f64 (+.f64 (+.f64 (/.f64 4/3 (.f64 (PI.f64) (.f64 v v))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(+.f64 (-.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (+.f64 (/.f64 (/.f64 4/3 (pow.f64 v 4)) (PI.f64)) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 8))))
(+.f64 (+.f64 (/.f64 -4/3 (.f64 (PI.f64) (pow.f64 v 8))) (+.f64 (/.f64 (/.f64 -4/3 (.f64 v v)) (PI.f64)) (/.f64 (/.f64 -4/3 (PI.f64)) (pow.f64 v 4)))) (/.f64 -4/3 (*.f64 (PI.f64) (pow.f64 v 6))))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(*.f64 -6 (pow.f64 v 2))
(.f64 v (.f64 v -6))
(PI.f64)
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (.f64 (PI.f64) (.f64 v v)))
(.f64 (PI.f64) (neg.f64 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(neg.f64 (.f64 (PI.f64) (.f64 v v)))
(.f64 (PI.f64) (neg.f64 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 (.f64 -1 (.f64 (pow.f64 v 2) (PI.f64))) (PI.f64))
(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v))))
(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v)))))))
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(fma.f64 -1 (.f64 (PI.f64) (.f64 v v)) (PI.f64))
(.f64 (PI.f64) (-.f64 1 (.f64 v v)))

eval264.0ms (7.2%)

Compiler: Compiled 11354 to 8283 computations (27% saved)

prune98.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	380	4	384
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	380	6	386

Accurracy

100.0%

Counts

386 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	98.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	97.4%	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
✓	98.5%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	97.4%	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	98.9%	(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))

Compiler

Compiled 84 to 70 computations (16.7% saved)

localize11.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(*.f64 3 (sqrt.f64 2))
✓	98.4%	(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
✓	98.4%	(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))

Compiler

Compiled 25 to 23 computations (8% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite109.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`log-prod`
810×	`exp-prod`
618×	`prod-exp`
576×	`pow-prod-down`
478×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	248	37
2	2828	37

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

Inputs
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(*.f64 3 (sqrt.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (*.f64 (sqrt.f64 18) (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 18)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 2)) (cbrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (sqrt.f64 18)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (*.f64 (log.f64 (sqrt.f64 18)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/2) (log.f64 (*.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sqrt.f64 18)) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 3)) (*.f64 (log.f64 (sqrt.f64 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 3)) (*.f64 (log.f64 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 2 3/2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 18) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 18 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 54 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 18))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 18)))) (sqrt.f64 (log.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 18)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 54 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 18))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 54 (sqrt.f64 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 18))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 18)))))))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-r`
1228×	`associate-l`
812×	`fma-def`
502×	`associate-/r*`
458×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	236	1851
1	507	1713
2	1380	1713

Stop Event

1×	node limit

Counts

95 → 113

Calls

Call 1

Inputs
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))
(.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))) 1)
(.f64 1 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18))))
(.f64 (cbrt.f64 (/.f64 16 (.f64 (pow.f64 (PI.f64) 2) 18))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(.f64 -4 (/.f64 1 (.f64 (sqrt.f64 18) (neg.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (sqrt.f64 18)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 3)
(pow.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 2)
(pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))))
(sqrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3)) 1/3))
(exp.f64 (.f64 (log.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4)) -1))
(exp.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 18)) 1)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(+.f64 0 (*.f64 (PI.f64) (sqrt.f64 18)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 18) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 2))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (sqrt.f64 18)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (sqrt.f64 18))))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (.f64 (log.f64 (sqrt.f64 18)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (.f64 (PI.f64) 3))))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (log.f64 (.f64 (PI.f64) 3))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 18)) (*.f64 (log.f64 (PI.f64)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 18)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 3)) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 3)) (.f64 (log.f64 2) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(+.f64 (pow.f64 2 3/2) (sqrt.f64 2))
(+.f64 0 (sqrt.f64 18))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)
(pow.f64 (sqrt.f64 18) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)
(pow.f64 18 1/2)
(pow.f64 (*.f64 54 (sqrt.f64 2)) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 18)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 18))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 18))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 18)))) (sqrt.f64 (log.f64 (sqrt.f64 18))))
(sqrt.f64 18)
(log.f64 (exp.f64 (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))
(cbrt.f64 (*.f64 54 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 18)))
(exp.f64 (log.f64 (sqrt.f64 18)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 18)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 18))) 3))
(exp.f64 (.f64 (log.f64 (.f64 54 (sqrt.f64 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 18))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 18)))

Outputs
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 16 (*.f64 18 (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(.f64 (cbrt.f64 (/.f64 16 (.f64 (pow.f64 (PI.f64) 2) 18))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 16 (*.f64 18 (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(.f64 -4 (/.f64 1 (.f64 (sqrt.f64 18) (neg.f64 (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 18)) 4)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (sqrt.f64 18)))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))) 1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 3)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)) 1/2)
(sqrt.f64 (/.f64 16 (*.f64 18 (pow.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3) 1/3)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 2)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) 1) -1)
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))))
(sqrt.f64 (/.f64 16 (*.f64 (pow.f64 (PI.f64) 2) 18)))
(sqrt.f64 (/.f64 16 (*.f64 18 (pow.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18))))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18)))) 1))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))) 1) 1))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) (sqrt.f64 18))))) 3))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4) -3)) 1/3))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (log.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18))))) 2))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1/4)) -1))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(exp.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 18)) 1)))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))))
(/.f64 4 (*.f64 (PI.f64) (sqrt.f64 18)))
(+.f64 0 (*.f64 (PI.f64) (sqrt.f64 18)))
(*.f64 (PI.f64) (sqrt.f64 18))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))))
(*.f64 (PI.f64) (sqrt.f64 18))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 1)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 3)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 18) 1/2)
(sqrt.f64 (*.f64 18 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3) 1/3)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 2)
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18)))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 18))
(sqrt.f64 (*.f64 18 (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (sqrt.f64 18)))
(*.f64 (PI.f64) (sqrt.f64 18))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18)))))
(*.f64 (PI.f64) (sqrt.f64 18))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 18)) 3))
(*.f64 (PI.f64) (sqrt.f64 18))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (sqrt.f64 18))) 1))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18))) 1) 1))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 3))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (PI.f64) (sqrt.f64 18)))) 1/3))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (sqrt.f64 18)))) 2))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (sqrt.f64 18)) 1)))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) 1) (log.f64 (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (.f64 (log.f64 (PI.f64)) 1) (.f64 (log.f64 (sqrt.f64 18)) 1)))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 2)) 1) (log.f64 (.f64 (PI.f64) 3))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (*.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(exp.f64 (+.f64 (.f64 (log.f64 2) 1/2) (log.f64 (.f64 (PI.f64) 3))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (*.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 18)) (*.f64 (log.f64 (PI.f64)) 1)))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1) (log.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 18)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(*.f64 (PI.f64) (sqrt.f64 18))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 3)) (.f64 (log.f64 (sqrt.f64 2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (*.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 3)) (.f64 (log.f64 2) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (*.f64 (PI.f64) 3))))
(.f64 (sqrt.f64 2) (.f64 (PI.f64) 3))
(.f64 (PI.f64) (.f64 3 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (sqrt.f64 18))))
(*.f64 (PI.f64) (sqrt.f64 18))
(+.f64 (pow.f64 2 3/2) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (pow.f64 2 3/2))
(+.f64 0 (sqrt.f64 18))
(sqrt.f64 18)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 18)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 18))) 1)
(sqrt.f64 18)
(pow.f64 (sqrt.f64 18) 1)
(sqrt.f64 18)
(pow.f64 (cbrt.f64 (sqrt.f64 18)) 3)
(sqrt.f64 18)
(pow.f64 18 1/2)
(sqrt.f64 18)
(pow.f64 (*.f64 54 (sqrt.f64 2)) 1/3)
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(pow.f64 (sqrt.f64 (sqrt.f64 18)) 2)
(sqrt.f64 18)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 18))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 18))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 18)))) (sqrt.f64 (log.f64 (sqrt.f64 18))))
(sqrt.f64 18)
(log.f64 (exp.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 18))))
(sqrt.f64 18)
(cbrt.f64 (*.f64 54 (sqrt.f64 2)))
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(expm1.f64 (log1p.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(exp.f64 (log.f64 (sqrt.f64 18)))
(sqrt.f64 18)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 18)) 1))
(sqrt.f64 18)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 18)) 1) 1))
(sqrt.f64 18)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 18))) 3))
(sqrt.f64 18)
(exp.f64 (.f64 (log.f64 (.f64 54 (sqrt.f64 2))) 1/3))
(cbrt.f64 (*.f64 (sqrt.f64 2) 54))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 18))) 2))
(sqrt.f64 18)
(log1p.f64 (expm1.f64 (sqrt.f64 18)))
(sqrt.f64 18)

localize20.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(.f64 6 (.f64 v v))
✓	98.5%	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Compiler

Compiled 59 to 38 computations (35.6% saved)

series46.0ms (1.3%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

1.0ms

inf

(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

0.0ms

-inf

(/.f64 4 (*.f64 (*.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (*.f64 6 (*.f64 v v))))))

rewrite82.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`log-prod`
700×	`pow-exp`
606×	`expm1-udef`
604×	`log1p-udef`
500×	`log-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	364	37
2	4364	33

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs

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

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

980×	`fma-def`
756×	`associate-/r*`
708×	`associate-*r/`
646×	`times-frac`
528×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2356
1	446	2254
2	1524	2118
3	6432	2114

Stop Event

1×	node limit

Counts

44 → 81

Calls

Call 1

Inputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(-.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 -2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64))))
(+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -1/6) (PI.f64))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64)))))))
(+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (+.f64 (.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 v (PI.f64)))) (+.f64 (.f64 2/3 (/.f64 (+.f64 1/162 (.f64 1/36 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (pow.f64 (sqrt.f64 -1/6) 2)))) (.f64 (pow.f64 v 7) (.f64 (sqrt.f64 -1/6) (PI.f64))))) (.f64 2/3 (/.f64 (+.f64 1/54 (pow.f64 (/.f64 -1/36 (sqrt.f64 -1/6)) 2)) (.f64 (pow.f64 v 5) (.f64 (sqrt.f64 -1/6) (PI.f64))))))))
(+.f64 0 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1)
(.f64 4 (/.f64 (/.f64 1 (.f64 (PI.f64) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))
(.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))) 1)
(.f64 1 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 2) (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(.f64 -4 (/.f64 1 (.f64 (.f64 (PI.f64) 3) (neg.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))))
(.f64 (/.f64 (/.f64 1 (.f64 (PI.f64) 3)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 4)
(.f64 (/.f64 4/3 (PI.f64)) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
(pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (/.f64 4/3 (PI.f64))) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)) (/.f64 4/3 (PI.f64))) 1) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (PI.f64)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))

Outputs
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64)))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (*.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (*.f64 (sqrt.f64 1/2) (PI.f64))))))
(+.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (/.f64 (.f64 (sqrt.f64 1/2) (PI.f64)) (pow.f64 v 4)))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 2/3 (*.f64 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (/.f64 (pow.f64 v 4) (PI.f64))) (/.f64 (/.f64 v (/.f64 (sqrt.f64 1/2) v)) (PI.f64))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (fma.f64 (-.f64 (/.f64 9/2 (sqrt.f64 1/2)) (/.f64 (/.f64 9/16 (sqrt.f64 1/2)) 1/2)) (/.f64 (.f64 2/3 (pow.f64 v 4)) (PI.f64)) (.f64 (/.f64 v (sqrt.f64 1/2)) (/.f64 v (PI.f64)))))
(+.f64 (.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 v 4)) (.f64 (sqrt.f64 1/2) (PI.f64)))) (.f64 2/3 (/.f64 (.f64 (pow.f64 v 6) (-.f64 27/2 (.f64 3/4 (/.f64 (-.f64 9/2 (pow.f64 (/.f64 3/4 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (*.f64 (sqrt.f64 1/2) (PI.f64)))))))
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(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2)))) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))) 1) 1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 3))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2))))) 1/3))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))) 2))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -6 2)) (/.f64 4/3 (PI.f64)))) -1))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
(/.f64 4/3 (.f64 (PI.f64) (sqrt.f64 (fma.f64 v (.f64 v -6) 2))))

localize45.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

Compiler

Compiled 16 to 15 computations (6.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`unpow-prod-down`
928×	`log-prod`
468×	`prod-exp`
450×	`pow-prod-down`
414×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	205	13
2	2465	13

Stop Event

1×	node limit

Counts

1 → 98

Calls

Call 1

Inputs
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (pow.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 4/3 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (pow.f64 (*.f64 4/3 (/.f64 1 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 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#<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (*.f64 (log.f64 (PI.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1418×	`unswap-sqr`
898×	`associate-/l*`
840×	`associate-*r/`
746×	`associate-*l/`
664×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	2528
1	697	2456
2	2193	2412

Stop Event

1×	node limit

Counts

98 → 131

Calls

Call 1

Inputs
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))
(*.f64 4/3 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1))
(*.f64 4/3 (pow.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))) 1))
(.f64 (sqrt.f64 1/2) (.f64 4/3 (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 1/2) (pow.f64 (.f64 4/3 (/.f64 1 (PI.f64))) 1))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (sqrt.f64 (sqrt.f64 8/9)) (.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (pow.f64 (/.f64 1 (neg.f64 (PI.f64))) 1))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (/.f64 1 (PI.f64)) (pow.f64 (/.f64 1 (sqrt.f64 8/9)) -1))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) (/.f64 4/3 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (/.f64 4/3 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 1/2))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 4/3 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/3) (/.f64 (sqrt.f64 8/9) (PI.f64)))
(*.f64 (pow.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) 1) (pow.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (PI.f64))) 1) (pow.f64 (/.f64 4/3 (sqrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) 1) 1) (pow.f64 (/.f64 4/3 (PI.f64)) 1))
(*.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 1) (sqrt.f64 1/2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) 1) (pow.f64 (/.f64 4/3 (cbrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) -2) 1) (pow.f64 (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (pow.f64 (PI.f64) -1/2) 1) (pow.f64 (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 8/9) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)) 1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) 1) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) 1) (pow.f64 (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (PI.f64)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (sqrt.f64 8/9)) (cbrt.f64 (PI.f64))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2) 3) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) (sqrt.f64 8/9)) 1/3) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 (.f64 8/9 (pow.f64 (PI.f64) -2)) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2)))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) 2) -1) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (pow.f64 (pow.f64 1/2 -1/2) -1) (pow.f64 (/.f64 (PI.f64) 4/3) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 8/9)) -1) (pow.f64 (/.f64 (PI.f64) (cbrt.f64 (sqrt.f64 8/9))) -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 8/9) -1/2) -1) (pow.f64 (/.f64 (PI.f64) (sqrt.f64 (sqrt.f64 8/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 4/3) -1) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 1/2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 1/2)) -1) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) 4/3) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 8/9)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 8/9)) -1) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sqrt.f64 8/9))) -1) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 8/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) 4/3) -1) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 1/2)) -1) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) 4/3) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 8/9)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 8/9)) -1) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 8/9))) -1) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 8/9))) -1))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (*.f64 8/9 (pow.f64 (PI.f64) -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 8/9) 8/9) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 8/9)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

Outputs
(+.f64 0 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 4/3 (pow.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) 1))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 4/3 (pow.f64 (/.f64 1 (/.f64 (PI.f64) (sqrt.f64 1/2))) 1))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(.f64 (sqrt.f64 1/2) (.f64 4/3 (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(.f64 (sqrt.f64 1/2) (pow.f64 (.f64 4/3 (/.f64 1 (PI.f64))) 1))
(*.f64 (sqrt.f64 1/2) (/.f64 4/3 (PI.f64)))
(*.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (.f64 8/9 (pow.f64 (PI.f64) -2))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (sqrt.f64 (sqrt.f64 8/9)) (.f64 (sqrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
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(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 1/3))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))) 2))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sqrt.f64 8/9))) -1))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (neg.f64 (log.f64 (PI.f64)))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 8/9)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (log.f64 (sqrt.f64 8/9)) (*.f64 (log.f64 (PI.f64)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 8/9)) 1) (log.f64 (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 8/9)) 1) (.f64 (log.f64 (PI.f64)) 1)))
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(/.f64 (sqrt.f64 8/9) (PI.f64))

localize16.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(.f64 (.f64 v v) -6)
✓	98.4%	(/.f64 4/3 (PI.f64))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite119.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`pow1`
1084×	`add-exp-log`
1084×	`log1p-expm1-u`
1084×	`expm1-log1p-u`
1060×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	126	9
2	1477	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(/.f64 4/3 (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))))))

simplify42.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1442×	`times-frac`
1244×	`associate-*r/`
916×	`associate-*l/`
824×	`log-prod`
728×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	418
1	103	304
2	373	190
3	2470	184

Stop Event

1×	node limit

Counts

20 → 25

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)
(*.f64 4/3 (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(*.f64 1 (/.f64 4/3 (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))

Outputs
(-.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 4/3 (/.f64 1 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 4/3 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 1 (/.f64 4/3 (PI.f64)))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (cbrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) (sqrt.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 -4/3 (/.f64 1 (neg.f64 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) 4/3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (/.f64 4/3 (PI.f64)) 1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 4/3 (PI.f64))) 3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 4/3 (PI.f64))) 2)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(pow.f64 (*.f64 (PI.f64) 3/4) -1)
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(sqrt.f64 (/.f64 16/9 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 3/4) -2))
(fabs.f64 (/.f64 4/3 (PI.f64)))
(log.f64 (exp.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 4/3 (PI.f64)) 3))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(exp.f64 (log.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 4/3 (PI.f64))))
(+.f64 (+.f64 1 (/.f64 4/3 (PI.f64))) -1)
(+.f64 (/.f64 4/3 (PI.f64)) 0)
(/.f64 4/3 (PI.f64))

eval217.0ms (5.9%)

Compiler: Compiled 5958 to 4854 computations (18.5% saved)

prune86.0ms (2.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	395	2	397
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	397	6	403

Accurracy

100.0%

Counts

403 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	98.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
▶	97.4%	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	98.5%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	97.4%	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	98.9%	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))

Compiler

Compiled 80 to 66 computations (17.5% saved)

localize8.0ms (0.2%)

Compiler: Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.4%	(/.f64 (sqrt.f64 8/9) (PI.f64))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`pow1`
1424×	`add-exp-log`
1424×	`log1p-expm1-u`
1424×	`expm1-log1p-u`
1390×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	163	13
2	1931	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 8/9) (*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 8/9 1/4) (*.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))))))

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

996×	`log-prod`
950×	`fma-def`
852×	`associate-r`
750×	`associate-l`
620×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	788
1	192	620
2	649	470
3	3759	468

Stop Event

1×	node limit

Counts

30 → 39

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))

Outputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (sqrt.f64 8/9) (/.f64 1 (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 1 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (cbrt.f64 8/9) (.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (cbrt.f64 8/9) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(.f64 (pow.f64 8/9 1/4) (.f64 (pow.f64 8/9 1/4) (/.f64 1 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (neg.f64 (sqrt.f64 8/9)) (/.f64 1 (neg.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (sqrt.f64 8/9))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 8/9) (cbrt.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 8/9) (sqrt.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (cbrt.f64 8/9) 1) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (cbrt.f64 8/9) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) (/.f64 (cbrt.f64 8/9) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (/.f64 (cbrt.f64 8/9) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 8/9) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (sqrt.f64 8/9))))
(*.f64 (cbrt.f64 8/9) (/.f64 (cbrt.f64 (sqrt.f64 8/9)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 8/9) (PI.f64)) (cbrt.f64 (sqrt.f64 8/9)))
(*.f64 (cbrt.f64 (sqrt.f64 8/9)) (/.f64 (cbrt.f64 8/9) (PI.f64)))
(*.f64 (/.f64 (pow.f64 8/9 1/4) 1) (/.f64 (pow.f64 8/9 1/4) (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(*.f64 (/.f64 (pow.f64 8/9 1/4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 8/9 1/4) (cbrt.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))) 2)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (sqrt.f64 8/9)) -1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(neg.f64 (/.f64 (sqrt.f64 8/9) (neg.f64 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(sqrt.f64 (/.f64 8/9 (pow.f64 (PI.f64) 2)))
(fabs.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 3))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 8/9) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 1))
(+.f64 (/.f64 (sqrt.f64 8/9) (PI.f64)) 0)
(/.f64 (sqrt.f64 8/9) (PI.f64))

eval8.0ms (0.2%)

Compiler: Compiled 327 to 271 computations (17.1% saved)

prune56.0ms (1.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	39	6	45

Accurracy

100.0%

Counts

45 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	98.9%	(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
✓	97.4%	(/.f64 (sqrt.f64 8/9) (PI.f64))
✓	98.5%	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	97.4%	(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	98.9%	(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))

Compiler

Compiled 80 to 66 computations (17.5% saved)

regimes53.0ms (1.5%)

Counts

8 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Calls

4 calls:

43.0ms	v
3.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
2.0ms	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))`
100.0%	1	`(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 135 to 98 computations (27.4% saved)

regimes9.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4 (.f64 (.f64 (PI.f64) 3) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

Outputs
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))

Calls

2 calls:

4.0ms	v
3.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
98.9%	1	`v`
98.9%	1	`(*.f64 v v)`

Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes10.0ms (0.3%)

Accuracy

Total -1.0b remaining (-136.2%)

Threshold costs -1b (-136.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 8/9) (PI.f64))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (*.f64 4/3 (sqrt.f64 1/2)) (PI.f64))
(/.f64 4 (.f64 (PI.f64) (.f64 3 (sqrt.f64 2))))

Outputs
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`v`

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`*-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
1	37	124
2	44	124
3	48	124
4	50	124

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 8/9) (PI.f64))

Outputs
(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 (/.f64 4/3 (PI.f64)) (sqrt.f64 (+.f64 2 (.f64 (.f64 v v) -6))))
(/.f64 4/3 (/.f64 (PI.f64) (sqrt.f64 1/2)))
(/.f64 (sqrt.f64 8/9) (PI.f64))

Compiler

Compiled 44 to 37 computations (15.9% saved)

soundness216.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

2686×	`fma-def`
1290×	`unsub-neg`
1130×	`fma-neg`
1126×	`distribute-lft-in`
864×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	45	55
2	112	51
3	330	51
4	986	51
5	1778	47
6	3759	47
7	6509	47

Stop Event

1×	node limit

Compiler

Compiled 174 to 113 computations (35.1% saved)

end55.0ms (1.5%)

Compiler: Compiled 41 to 30 computations (26.8% saved)

Details

analyze5.0ms (0.1%)

sample1.1s (29%)

preprocess75.0ms (2%)

simplify74.0ms (2%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize28.0ms (0.8%)

series9.0ms (0.2%)

rewrite115.0ms (3.1%)

simplify124.0ms (3.4%)

localize25.0ms (0.7%)

series3.0ms (0.1%)

rewrite81.0ms (2.2%)

simplify72.0ms (2%)

eval264.0ms (7.2%)

prune98.0ms (2.7%)

localize11.0ms (0.3%)

series0.0ms (0%)

rewrite109.0ms (3%)

simplify59.0ms (1.6%)

localize20.0ms (0.5%)

series46.0ms (1.3%)

rewrite82.0ms (2.2%)

simplify78.0ms (2.1%)

localize45.0ms (1.2%)

series0.0ms (0%)

rewrite66.0ms (1.8%)

simplify84.0ms (2.3%)

localize16.0ms (0.4%)

series0.0ms (0%)

rewrite119.0ms (3.3%)

simplify42.0ms (1.2%)

eval217.0ms (5.9%)

prune86.0ms (2.4%)

localize8.0ms (0.2%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite58.0ms (1.6%)

simplify51.0ms (1.4%)

eval8.0ms (0.2%)

prune56.0ms (1.5%)

regimes53.0ms (1.5%)

regimes9.0ms (0.2%)

regimes10.0ms (0.3%)

simplify7.0ms (0.2%)

soundness216.0ms (5.9%)

end55.0ms (1.5%)

Profiling