Details

analyze11.0ms (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)

sample1.6s (56.3%)

Results

1.6s	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 44 to 34 computations (22.7% saved)

preprocess29.0ms (1%)

Algorithm

2×	egg-herbie

Rules

688×	`rules-5-rev_binary64`
474×	`rules-20_binary64`
376×	`rules-5_binary64`
302×	`rules-11_binary64`
212×	`rules-22-rev_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	39	31
2	111	28
3	423	28
4	1830	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 6 (-.f64 1/3 (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 4/3 (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 (*.f64 v v) -6))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify21.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

688×	`rules-5-rev_binary64`
474×	`rules-20_binary64`
376×	`rules-5_binary64`
302×	`rules-11_binary64`
212×	`rules-22-rev_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	39	31
2	111	28
3	423	28
4	1830	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 6 (-.f64 1/3 (*.f64 v v)))))
(/.f64 (/.f64 (/.f64 4/3 (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 (*.f64 v v) -6))))

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

1.0b

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

Compiler

Compiled 119 to 87 computations (26.9% saved)

localize10.0ms (0.4%)

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 (*.f64 v v) -6))))
✓	0.2b	(.f64 (.f64 v v) -6)
✓	1.0b	(/.f64 4/3 (PI.f64))

series26.0ms (0.9%)

Counts

4 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
6.0ms	v	@	inf	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
6.0ms	v	@	0	(/.f64 (/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (.f64 v v))) (sqrt.f64 (+.f64 2 (.f64 (*.f64 v v) -6))))
3.0ms	v	@	0	(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))
2.0ms	v	@	inf	(/.f64 (/.f64 4/3 (PI.f64)) (-.f64 1 (*.f64 v v)))

rewrite66.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`rules-34-rev_binary64`
156×	`add-sqr-sqrt_binary64`
147×	`pow1_binary64`
147×	`rules-40_binary64`
147×	`rules-41_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	360	52
2	4559	52

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

simplify35.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

240×	`fma-def_binary64`
203×	`rules-14-rev_binary64`
195×	`rules-13_binary64`
143×	`rules-6_binary64`
141×	`rules-21_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	1431
1	689	1431
2	3516	1431

Stop Event

1×

unsound

Counts

160 → 164

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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(/.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 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (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 4) (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 8) (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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (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 4) (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 8) (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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(+.f64 (.f64 4/3 (.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 v) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)) (fma.f64 4/3 (.f64 (.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 3/8 (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(-.f64 (fma.f64 4 (/.f64 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2)) (PI.f64)) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64))) (+.f64 (fma.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (.f64 (.f64 v v) (/.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 6) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.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 21/8 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 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 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))) (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(-.f64 (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9)))))) (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))))) (fma.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 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9))))))))
(.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 (.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 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(-.f64 (fma.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 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9))))))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 4/81 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 7))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (.f64 (PI.f64) (sqrt.f64 -1/6)) (pow.f64 v 9)))))) (/.f64 1/69984 (.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))))))
(/.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 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (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 6) (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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (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 8) (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 (/.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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64)))))))
(neg.f64 (+.f64 (/.f64 4/3 (.f64 (.f64 v v) (PI.f64))) (+.f64 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))) (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 4))))))
(neg.f64 (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 4) (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 8) (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 (/.f64 4/3 (.f64 (PI.f64) (pow.f64 v 6))) (/.f64 4/3 (*.f64 (PI.f64) (pow.f64 v 8)))))))

prune147.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	164	2	166

Error

Counts

166 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

0.0b

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

Compiler

Compiled 4593 to 3247 computations (29.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series39.0ms (1.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	v	@	-inf	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
6.0ms	v	@	inf	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
6.0ms	v	@	0	(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (/.f64 1 (sqrt.f64 (fma.f64 (.f64 v v) -6 2))))
3.0ms	v	@	0	(/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v))))
2.0ms	v	@	0	(/.f64 1 (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))

rewrite65.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`rules-34-rev_binary64`
153×	`add-sqr-sqrt_binary64`
143×	`pow1_binary64`
143×	`rules-40_binary64`
143×	`rules-41_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	358	62
2	4461	62

Stop Event

1×	node limit

Counts

4 → 143

Calls

Call 1

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

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

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

323×	`fma-def_binary64`
263×	`rules-14-rev_binary64`
256×	`rules-13_binary64`
192×	`rules-21_binary64`
184×	`rules-6_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1988
1	932	1988
2	4720	1988

Stop Event

1×

unsound

Counts

191 → 208

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 2) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (pow.f64 v 6) (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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (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 4) (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 8) (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 4) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 2) (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 4) (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 8) (PI.f64)))) (.f64 4/3 (/.f64 1 (.f64 (pow.f64 v 6) (PI.f64))))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 3/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))))) (*.f64 9/32 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/2) 3))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 27/128 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (.f64 27/4 (/.f64 (pow.f64 v 6) (sqrt.f64 1/2))) (+.f64 (.f64 3/4 (/.f64 (pow.f64 v 2) (sqrt.f64 1/2))) (.f64 9/4 (/.f64 (pow.f64 v 4) (sqrt.f64 1/2))))))) (+.f64 (.f64 9/32 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 27/16 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 1/2) 3)))))
(/.f64 (sqrt.f64 -1/6) v)
(-.f64 (/.f64 (sqrt.f64 -1/6) v) (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))))
(-.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 1/2592 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (.f64 1/108 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))))
(-.f64 (/.f64 (sqrt.f64 -1/6) v) (+.f64 (.f64 1/93312 (/.f64 1 (.f64 (pow.f64 v 7) (pow.f64 (sqrt.f64 -1/6) 5)))) (+.f64 (.f64 1/324 (/.f64 1 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (.f64 1/2592 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/3888 (/.f64 1 (.f64 (pow.f64 v 7) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (.f64 1/108 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))))))))
(*.f64 -1 (/.f64 (sqrt.f64 -1/6) v))
(-.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 -1/6) v))
(-.f64 (+.f64 (.f64 1/2592 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (.f64 1/108 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6)))))) (/.f64 (sqrt.f64 -1/6) v))
(-.f64 (+.f64 (.f64 1/93312 (/.f64 1 (.f64 (pow.f64 v 7) (pow.f64 (sqrt.f64 -1/6) 5)))) (+.f64 (.f64 1/324 (/.f64 1 (.f64 (pow.f64 v 7) (sqrt.f64 -1/6)))) (+.f64 (.f64 1/2592 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/3888 (/.f64 1 (.f64 (pow.f64 v 7) (pow.f64 (sqrt.f64 -1/6) 3)))) (+.f64 (.f64 1/36 (/.f64 1 (.f64 (pow.f64 v 3) (sqrt.f64 -1/6)))) (.f64 1/108 (/.f64 1 (.f64 (pow.f64 v 5) (sqrt.f64 -1/6))))))))) (/.f64 (sqrt.f64 -1/6) v))
(*.f64 4/3 (/.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 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(PI.f64)
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (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)))
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(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64))))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 1/1944 (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (.f64 (PI.f64) (pow.f64 v 7)))) (/.f64 4/81 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 7)))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (fma.f64 4/3 (/.f64 (/.f64 (sqrt.f64 -1/6) (pow.f64 v 5)) (PI.f64)) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9))))))) (+.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (/.f64 5/5832 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 9)))) (+.f64 (/.f64 13/243 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9)))) (/.f64 4/81 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 7))))))) (+.f64 (/.f64 1/69984 (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (.f64 (PI.f64) (pow.f64 v 9)))) (/.f64 1/1944 (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (.f64 (PI.f64) (pow.f64 v 7)))))))
(PI.f64)
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (.f64 -1 (*.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(.f64 -1 (.f64 (pow.f64 v 2) (PI.f64)))
(.f64 (PI.f64) (.f64 -1 (*.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))
(-.f64 (PI.f64) (*.f64 (pow.f64 v 2) (PI.f64)))
(-.f64 (PI.f64) (.f64 (PI.f64) (.f64 v v)))

prune184.0ms (6.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	208	2	210

Error

Counts

210 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

▶

0.0b

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

Compiler

Compiled 6052 to 4337 computations (28.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
6.0ms	v	@	0	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
6.0ms	v	@	inf	(/.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (sqrt.f64 (fma.f64 (*.f64 v v) -6 2)))
1.0ms	v	@	0	(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))
1.0ms	v	@	-inf	(sqrt.f64 (fma.f64 (*.f64 v v) -6 2))

rewrite61.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`rules-34-rev_binary64`
142×	`add-sqr-sqrt_binary64`
133×	`pow1_binary64`
133×	`rules-40_binary64`
133×	`rules-41_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	332	36
2	4076	36

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify33.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
168×	`rules-14-rev_binary64`
157×	`rules-13_binary64`
143×	`rules-6_binary64`
117×	`rules-4_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1325
1	667	1325
2	3386	1325

Stop Event

1×

unsound

Counts

98 → 119

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 (/.f64 (pow.f64 v 2) (.f64 (sqrt.f64 1/2) (PI.f64))) (.f64 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(.f64 -4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))

Outputs
(*.f64 4/3 (/.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 4/3 (/.f64 (.f64 (pow.f64 v 2) (sqrt.f64 1/2)) (PI.f64)))))
(+.f64 (.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 v v) (PI.f64)))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (*.f64 (sqrt.f64 1/2) (PI.f64)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 v 4) (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 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 v v) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64))) (fma.f64 4/3 (/.f64 (sqrt.f64 1/2) (PI.f64)) (/.f64 (.f64 v v) (.f64 (sqrt.f64 1/2) (PI.f64))))))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 4)) (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 9/32 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 2)) (PI.f64))) (+.f64 (.f64 4/3 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 v 6)) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.f64 (sqrt.f64 1/2) (PI.f64))))))))))) (+.f64 (.f64 21/8 (/.f64 (pow.f64 v 6) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64)))) (.f64 3/8 (/.f64 (pow.f64 v 4) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (PI.f64))))))
(-.f64 (fma.f64 4 (/.f64 (pow.f64 v 4) (.f64 (sqrt.f64 1/2) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 4) (PI.f64))) (+.f64 (fma.f64 9/32 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 5))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (.f64 v v) (PI.f64))) (fma.f64 4/3 (.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 v 6) (PI.f64))) (.f64 13 (/.f64 (pow.f64 v 6) (.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 21/8 (/.f64 (pow.f64 v 6) (.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/8 (/.f64 (pow.f64 v 4) (*.f64 (PI.f64) (pow.f64 (sqrt.f64 1/2) 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 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.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 (pow.f64 v 5) (PI.f64))))))
(-.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 5))))))
(-.f64 (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))))
(-.f64 (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))))) (-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (/.f64 1/1944 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 7))))))
(-.f64 (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))))
(-.f64 (+.f64 (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (+.f64 (/.f64 4/81 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (.f64 (PI.f64) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 9)))))) (/.f64 1/1944 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 7))))))) (fma.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 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (*.f64 (PI.f64) (pow.f64 v 9))))))))
(.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64))))
(/.f64 (sqrt.f64 -1/6) (/.f64 (*.f64 (PI.f64) (pow.f64 v 3)) 4/3))
(-.f64 (+.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 (pow.f64 v 5) (PI.f64))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))
(-.f64 (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5))))) (/.f64 1/27 (.f64 (PI.f64) (*.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (+.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 (pow.f64 v 5) (PI.f64)))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (*.f64 (PI.f64) (sqrt.f64 -1/6))))))))
(-.f64 (fma.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 3))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 5)))))) (+.f64 (/.f64 1/1944 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 7)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (/.f64 4/81 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7)))))))
(-.f64 (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 3) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 5) (PI.f64)))) (+.f64 (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 7) (PI.f64)))) (.f64 4/3 (/.f64 (sqrt.f64 -1/6) (.f64 (pow.f64 v 9) (PI.f64))))))) (+.f64 (.f64 1/69984 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 5))))) (+.f64 (.f64 1/1944 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3))))) (+.f64 (.f64 1/27 (/.f64 1 (.f64 (pow.f64 v 5) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 13/243 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (+.f64 (.f64 4/81 (/.f64 1 (.f64 (pow.f64 v 7) (.f64 (PI.f64) (sqrt.f64 -1/6))))) (.f64 5/5832 (/.f64 1 (.f64 (pow.f64 v 9) (.f64 (PI.f64) (pow.f64 (sqrt.f64 -1/6) 3)))))))))))
(-.f64 (fma.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 5))) (.f64 4/3 (+.f64 (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7))) (/.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 9))))))) (+.f64 (/.f64 1/69984 (.f64 (PI.f64) (.f64 (pow.f64 (sqrt.f64 -1/6) 5) (pow.f64 v 9)))) (+.f64 (/.f64 1/27 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 5)))) (+.f64 (+.f64 (/.f64 4/81 (.f64 (sqrt.f64 -1/6) (.f64 (PI.f64) (pow.f64 v 7)))) (+.f64 (/.f64 5/5832 (.f64 (pow.f64 (sqrt.f64 -1/6) 3) (.f64 (PI.f64) (pow.f64 v 9)))) (/.f64 13/243 (.f64 (PI.f64) (.f64 (sqrt.f64 -1/6) (pow.f64 v 9)))))) (/.f64 1/1944 (.f64 (PI.f64) (*.f64 (pow.f64 (sqrt.f64 -1/6) 3) (pow.f64 v 7))))))))
(sqrt.f64 2)
(-.f64 (sqrt.f64 2) (*.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)))))
(-.f64 (sqrt.f64 2) (+.f64 (.f64 3 (/.f64 (pow.f64 v 2) (sqrt.f64 2))) (+.f64 (.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3))) (*.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(-.f64 (sqrt.f64 2) (fma.f64 3 (/.f64 (.f64 v v) (sqrt.f64 2)) (fma.f64 9/2 (/.f64 (pow.f64 v 4) (pow.f64 (sqrt.f64 2) 3)) (.f64 27/2 (/.f64 (pow.f64 v 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 v (sqrt.f64 -6))
(+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6)))
(+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (/.f64 1/2 (*.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))))
(-.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(.f64 -1 (.f64 v (sqrt.f64 -6)))
(.f64 v (.f64 (sqrt.f64 -6) -1))
(neg.f64 (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(neg.f64 (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (.f64 v (sqrt.f64 -6))))
(-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1 (*.f64 v (sqrt.f64 -6)))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3)))) (+.f64 (/.f64 1 (.f64 v (sqrt.f64 -6))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))) (.f64 v (sqrt.f64 -6)))))
(-.f64 (-.f64 (/.f64 1/2 (.f64 (pow.f64 v 3) (pow.f64 (sqrt.f64 -6) 3))) (/.f64 1 (.f64 v (sqrt.f64 -6)))) (+.f64 (.f64 v (sqrt.f64 -6)) (/.f64 1/2 (.f64 (pow.f64 v 5) (pow.f64 (sqrt.f64 -6) 5)))))

prune161.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	204	2	206

Error

Counts

206 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 5585 to 3895 computations (30.3% saved)

regimes185.0ms (6.6%)

Accuracy

Total 0.0b remaining (30.7%)

Threshold costs 0.0b (30.7%)

Counts

62 → 1

Compiler

Compiled 5116 to 3926 computations (23.3% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	17	27

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.f64 (/.f64 4/3 (.f64 (PI.f64) (-.f64 1 (.f64 v v)))) (pow.f64 (fma.f64 (.f64 v v) -6 2) -1/2))

end54.0ms (1.9%)

Stop Event

1×

done

Compiler

Compiled 76 to 56 computations (26.3% saved)

Details

analyze11.0ms (0.4%)

sample1.6s (56.3%)

preprocess29.0ms (1%)

simplify21.0ms (0.7%)

prune4.0ms (0.2%)

localize10.0ms (0.4%)

series26.0ms (0.9%)

rewrite66.0ms (2.4%)

simplify35.0ms (1.3%)

prune147.0ms (5.2%)

localize9.0ms (0.3%)

series39.0ms (1.4%)

rewrite65.0ms (2.3%)

simplify50.0ms (1.8%)

prune184.0ms (6.5%)

localize9.0ms (0.3%)

series23.0ms (0.8%)

rewrite61.0ms (2.2%)

simplify33.0ms (1.2%)

prune161.0ms (5.7%)

regimes185.0ms (6.6%)

simplify1.0ms (0%)

end54.0ms (1.9%)

Profiling