Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample981.0ms (64.7%)

Results

970.0ms

8256×

body

128

valid

preprocess36.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

527×	`rule-/ab-*+aa/1/2b_binary64`
469×	`rule-a-*a1_binary64`
469×	`rule-a--a0_binary64`
469×	`rule-a-+a0_binary64`
469×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	113	31
2	414	28
3	2527	28
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 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 6 v))))))
(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (.f64 v 6))))))
(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify26.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

527×	`rule-/ab-*+aa/1/2b_binary64`
469×	`rule-a-*a1_binary64`
469×	`rule-a--a0_binary64`
469×	`rule-a-+a0_binary64`
469×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	113	31
2	414	28
3	2527	28

Stop Event

1×	node limit

Counts

1 → 2

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

prune4.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
▶	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))

Status

Error

Program

1.0b

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

▶

0.0b

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

Compiler

Compiled 119 to 90 computations (24.4% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
✓	0.1b	(.f64 v (.f64 v 6))
✓	1.0b	(/.f64 4/3 (PI.f64))

series9.0ms (0.6%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	v	@	inf	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
2.0ms	v	@	0	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
1.0ms	v	@	-inf	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))
1.0ms	v	@	0	(.f64 v (.f64 v 6))
1.0ms	v	@	inf	(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))

rewrite41.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

189×	`add-sqr-sqrt_binary64`
177×	`add-cbrt-cube_binary64`
177×	`add-exp-log_binary64`
177×	`add-log-exp_binary64`
177×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	434	54

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

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

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

simplify40.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

263×	`rule-/ab-*+aa/1/2b_binary64`
256×	`fma-def_binary64`
249×	`fma-neg_binary64`
243×	`rule-a-*a1_binary64`
243×	`rule-a--a0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1466
1	1098	1466
2	4965	1466

Stop Event

1×

unsound

Counts

150 → 154

Calls

Call 1

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

Outputs
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.f64 6 (pow.f64 v 2))
(.f64 6 (.f64 v v))
(*.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))))))
(fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (.f64 4/3 (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.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 4) (+.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 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.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 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (.f64 (pow.f64 v 4) (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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.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 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 (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 (.f64 4/3 (.f64 (pow.f64 v 4) (+.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 (sqrt.f64 1/2) (PI.f64)) (.f64 3/4 (/.f64 1 (.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 (sqrt.f64 1/2) (PI.f64)) (fma.f64 4/3 (.f64 (pow.f64 v 6) (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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (+.f64 (/.f64 3/4 (.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)))))))) (fma.f64 4/3 (.f64 (pow.f64 v 4) (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 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (.f64 (sqrt.f64 1/2) (PI.f64)))))) (.f64 4/3 (.f64 (.f64 v v) (+.f64 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 3/4 (*.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 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))) (.f64 -1 (/.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)))))
(+.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))) (.f64 -1 (/.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))))))
(+.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))) (.f64 -1 (/.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)))))))
(.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 -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))) (.f64 -1 (/.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)))))
(+.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 (.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))) (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)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (.f64 -1 (/.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))))))
(+.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 (.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 (.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 (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))) (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)) (fma.f64 -4/3 (/.f64 (+.f64 (/.f64 1/36 (.f64 (PI.f64) (sqrt.f64 -1/6))) (.f64 -1 (/.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)))))))
(/.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)))
(+.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))))
(+.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)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (.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 (*.f64 v v) (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 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (/.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) (pow.f64 v 4))) (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))
(/.f64 -4/3 (*.f64 (pow.f64 v 2) (PI.f64)))
(/.f64 -4/3 (.f64 (.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 (*.f64 v v) (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 (PI.f64) (pow.f64 v 4))) (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (/.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) (pow.f64 v 4))) (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))

prune132.0ms (8.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status	Error	Program
▶	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))
✓	0.0b	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 v (*.f64 v 6)))))

Status

Error

Program

▶

1.0b

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

✓

0.0b

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

Compiler

Compiled 4657 to 3476 computations (25.4% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v)))))
✓	0.2b	(.f64 6 (.f64 v v))
✓	1.0b	(/.f64 4 (.f64 (.f64 (.f64 3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (-.f64 2 (.f64 6 (.f64 v v))))))

New

Error

Program

✓

0.0b

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

✓

0.2b

(*.f64 6 (*.f64 v v))

✓

1.0b

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

series6.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

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

rewrite36.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

190×	`add-sqr-sqrt_binary64`
179×	`add-cbrt-cube_binary64`
179×	`add-exp-log_binary64`
179×	`add-log-exp_binary64`
179×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	452	66

Stop Event

1×	node limit

Counts

3 → 63

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)))))

Outputs
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Outputs

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simplify37.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

313×	`rule-a-*a1_binary64`
313×	`rule-a--a0_binary64`
313×	`rule-a-+a0_binary64`
313×	`rule-a-/a1_binary64`
306×	`rule-/ab-*+aa/1/2b_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	1790
1	1355	1696

Stop Event

1×	node limit

Counts

99 → 112

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))))))
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(+.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))))
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(+.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))))))
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(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
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(*.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))
(.f64 3 (.f64 (sqrt.f64 2) (PI.f64)))
(+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64)))))))
(+.f64 (.f64 3 (.f64 (pow.f64 v 4) (+.f64 (.f64 3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -9/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 2) 3)))))) (+.f64 (.f64 3 (.f64 (sqrt.f64 2) (PI.f64))) (.f64 3 (.f64 (pow.f64 v 2) (+.f64 (.f64 -3 (/.f64 (PI.f64) (sqrt.f64 2))) (.f64 -1 (*.f64 (sqrt.f64 2) (PI.f64))))))))
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(.f64 -3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
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(+.f64 (.f64 3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)) (+.f64 (.f64 3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 -3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))))))
(.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (.f64 3 (.f64 (pow.f64 v 3) (*.f64 (sqrt.f64 -6) (PI.f64)))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v))))
(+.f64 (.f64 -3 (.f64 v (+.f64 (.f64 (sqrt.f64 -6) (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (sqrt.f64 -6)))))) (+.f64 (.f64 -3 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 5))) (.f64 -1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3)))) (pow.f64 v 3))) (+.f64 (.f64 3 (.f64 (pow.f64 v 3) (.f64 (sqrt.f64 -6) (PI.f64)))) (.f64 -3 (/.f64 (+.f64 (.f64 1/2 (/.f64 (PI.f64) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 (PI.f64) (sqrt.f64 -6))) v)))))

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

prune87.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

Counts

114 → 2

Alt Table

Status

Error

Program

✓

1.0b

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

✓

0.0b

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

Compiler

Compiled 4017 to 3177 computations (20.9% saved)

regimes12.0ms (0.8%)

Accuracy

Total -1.0b remaining (-10053.4%)

Threshold costs -1.0b (-10053.4%)

Counts

3 → 1

Compiler

Compiled 97 to 70 computations (27.8% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	18	28

Stop Event

1×

saturated

Calls

Call 1

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

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

end41.0ms (2.7%)

Stop Event

1×

done

Compiler

Compiled 76 to 55 computations (27.6% saved)

Details

analyze5.0ms (0.4%)

sample981.0ms (64.7%)

preprocess36.0ms (2.3%)

simplify26.0ms (1.7%)

prune4.0ms (0.3%)

localize10.0ms (0.7%)

series9.0ms (0.6%)

rewrite41.0ms (2.7%)

simplify40.0ms (2.7%)

prune132.0ms (8.7%)

localize10.0ms (0.7%)

series6.0ms (0.4%)

rewrite36.0ms (2.4%)

simplify37.0ms (2.4%)

prune87.0ms (5.7%)

regimes12.0ms (0.8%)

simplify1.0ms (0.1%)

end41.0ms (2.7%)

Profiling